Are you a university or school looking for an online tutoring partnership ?
Talk to UsA continuous function may be defined as a function that does not have any abrupt changes i.e. there are no discontinuities in the function.A function is said to be continuous if a small change in its output can be assured by restricting to a small change in its input.
In differential calculus, the derivative is a method of representing the instantaneous rate of change. that is, the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on a graph.
Literal meaning of Integral is to include something. In mathematics, integral may be defined as assigning the numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data. The method of finding integrals is called integration.
In mathematics, limit may be defined as the value that a function approaches as the input approaches some value. This is represented by limits in a function and are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
In mathematics, a partial derivative of a function having tow or more than two variables may be defined as its derivative with respect to one of those variables, with the others held constant at the same time. Partial derivatives finds its application in vector calculus and differential geometry.
Q. What are the maximum and minimum of the function f(x)=x^3-5x^2-8x+24?
Sol. In order to find the extreme value first we have to find at which point does it have extreme value
f(x)=x^3-5x^2-8x+24
f^' (x)=3x^2-10x-8
So, at the extreme points value of first derivative is zero
f^' (x)=0
3x^2-10x-8=0
3x^2-12x+2x-8=0
3x(x-4)+2(x-4)=0
(x-4)(3x+2)=0
⇒either x-4=0 or 3x+2=0
⟹ x=4 or x= -2/3
Now, we have find at which we have maximum and at which we have minimum.
For that lets take the second derivative of function
f^'' (x)=6x-10
Now, at x=4
f^'' (4)=6(4)-10
=24-10
=14>0
Which means at x=4 we have minimum value of function
So, minimum value of the function will be
f(4)=(4)^3-5(4)^2-8(4)+24
=64-80-32+24
=-24
Now, at x= -2/3
f^'' (-2/3)=6 (-2/3) -10
=-4-10
=-14<0
Which means at x= -2/3 we have maximum value of the function.
So, maximum value of the function will be
f(-2/3)=(-2/3)^3-5(-2/3)^2-8(-2/3)+24
=-8/27-20/9+16/3+24
=724/27 = 26 22/27
Q. Find the equation of Normal of curve f(x)=x^3-4x+3 at where curve meet y axis.
Sol. First of all we have to find the point at which we want to find the equation of tangent.
f(x)=x^3-4x+3
f(x)=0-0+3
We have to find equation of normal at (0,3)
So, now In order to find slope of normal first we have to find the slope of tangent
f^' (x)_((0,3))=3x^2-4
f^' (x)_((0,3) )=0-4=-4
So, slope of normal=1/(slope of tangent)
slope of normal=-1/4
Now Equation of is given by, y=mx+c , Where m is the slope of the normal
So, equation will be y=-1/4 x+c
In order to find value of 'c' we have to satisfy the equation of the line with the given point.
3=-1/4+c
c=7/4
y=-1/4 x+7/4
x+4y=7
So this is the equation of normal line at (0,3)
Q. Using limit definition of derivative find derivative of f(x)=sinx
Sol. We have f(x)=sinx
So, f(x+h)=sin(x+h)
f(x+h)-f(x)=sin(x+h)-sinx
Using sinx-siny=2 cos((x+y)/2) sin((x-y)/2)
f(x+h)-f(x)=2 cos((2x+h)/2) sin(h/2)
So now
f^' (x)=lim┬(h→0)〖(f(x+h)-f(x))/((x+h)-x)〗
f^' (x)=lim┬(h→0)〖(2 cos((2x+h)/2) sin(h/2) )/h〗
Using limit formula sinh/h=1
f^' (x)=lim┬(h→0)cos((2x+h)/2)
f^' (x)=lim┬(h→0)cos((2x+0)/2)
f^' (x)=cosx
Hire the best Calculus tutor now!
Calculus has widespread applications in the field of science, economics, as well as engineering and can solve many real-life problems for which can’t be done from other branches of math like Algebra alone. Students interested in calculations, predictions, and modeling should look at studying calculus and advancing their knowledge about the subject. Some examples of careers and job titles that require calculus knowledge are Astronauts, Aerospace engineer, Mathematician, Economist and research analyst.
Calculus is a remarkably interesting subject that comprises full of concepts, equations, and formula derivations. The main branches of calculus include differential calculus, integral calculus and multivariable calculus. But understand clearly that mastering Calculus takes time. One of the primary reasons for students to struggle with calculus homework is because they don’t have enough time to devote to the complex concepts. As per our calculus experts, an average student should spend up to 10 hours weekly to studying and practicing concepts of calculus outside of class and that’s when they can lift their grades to A.
From basics to advanced, our experienced online Calculus tutors help you in multiple areas related to calculus. We provide detailed stepwise solutions to all calculus questions so that students can take those homework questions and first understand the steps & then practice them again and again to master the concepts. This is called teach and practice methodology at TutorEye.
Be it the concept of clearing or explaining velocity formulas of calculus, the help is provided to all with proper explanations backed up with a theory and logic. Our tutors ensure that students are taught concepts in the simplest form and then after building a strong foundation we move our students to advanced & more complex topics.
Looking for someone to help you with the Calculus homework problem? Rely on our certified professionals to assist you day or night to complete your assignment.
Here’s what you can do:
Step 1: Share, upload files or fill-out your requirements on the homework help form
Step 2: Get matched to a professional and consider the deadline and budgetary needs before hiring one.
Step 3: Evaluate your assignment before releasing money from escrow.
Also, we have a Money Refund policy as we value your association with us. Trust and integrity are the foundation of our services. Therefore, we deliver the highest quality assignment and 100% non-plagiarized work to suit the needs of our students.
Calculus can be tricky for some students and having the right base in the subject is of utmost importance. Whether it is to brush up old topics or break down the curriculum for you, you need to get expert advice.
To get calculus help you have several options: discuss questions with seniors who have opted for the subject; ask your teacher any specific topic-related query; consider checking with your parents, siblings or friends.
But here is what we suggest - take online calculus homework help from qualified experts at TutorEye. Our professional can help you with explanations of theorems, revising formulae, resolving doubts and in practicing problems.
Here’s what you can do:
This way you can reach the top of the class and get the best grades.
Calculus is easy but some college students find it hard to grasp the concepts. For this you need to analyze and check whether you have the right foundation in Mathematics, if you are finding it hard to deal with at College level.
To succeed not just ‘survive’ the subject in college, you can take help in Calculus from our top academicians. Here’s how TutorEye can help you:
With a dash of effort and planning, thrive in your class and get top grades.
Calculus is not regarded as a difficult subject but there are a few students who struggle with it. This could be due to weak foundation in Algebra and Trigonometry. But this can be remedied by getting help in Calculus from our proficient experts at TutorEye.
To make it easy, revise your basics and master your Trigonometry and Algebra lessons regularly. As long as you have a solid command in these two subjects Calculus shouldn't be hard for you. Also, practice a set of questions everyday to get into the habit of solving questions. With a bit of practice and the right effort you will no longer find this subject tough.
You can learn Calculus by having a routine where you:
Devote a set number of hours to this subject and revise basics regularly
Learn the formulas and limits
However, our top professionals can make this journey easier for you by assisting you and providing you Calculus homework help when needed.
Apart from this, start from the basics of derivatives and study with an expert when you face problems while solving worksheets.
Break down the syllabus and build on your success by solving complex problems in due time. This way you can start learning Calculus easily.