Differentiation of Polynomial and Exponential homework Help at TutorEye

# Differentiation of Polynomial and Exponential homework Help at TutorEye

Get 24/7 Differentiation of Polynomial and Exponential assistance at TutorEye. Our experts will help you understand the concepts, formulas to apply and solve homework problems for achieving better grades in class.

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## Differentiation of Polynomial and Exponential:

For differentiation of polynomial functions, we use power rules and the basic differentiation rules.

And for the differentiation of exponential function we use the formula of differentiation of exponential functions

## Differentiation of Polynomial and Exponential Sample Questions:

Question 1: Differentiate

(a)

(b)

(c)

(d)

Explanation: ()

Question 2: Differentiate  y= 13x^4 − 6x^3 − x− 1

(a) 52 x^3 – 18x^2 -1

(b) 72 x^3 – 9x^2 -1

(c) 52 x^3 – 18x^2

(d) x^3 – x^2 -1

Explanation: On using the formula

Question 3: What is the slope of a line 3x- 4x^2 at x =2.

(a) 13

(b) 15

(c) -13

(d) 12

Explanation: f'’(x) = 3- 8x

Question 4: Find the differentiation of

(a)

(b)

(c)

(d)

Explanation:

Question 5: Differentiate

(a)

(b)

(c)

(d)

Explanation:

Question 6: Find

(a)

(b)

(c)

(d)

Explanation:

Question 7: Differentiate

(a) x^2

(b)

(c) 5

(d) -3x^2

Explanation:

Question 8: Differentiate e^x (4x^2-2x +2)

(a) 2e^x (4x^2 +6x )

(b) e^x (8x^2 +6x )

(c) 2x^ex (2x+3 )

(d) e^x (4x2 +6)

Explanation: y' = e^x (4x^2 -2x +2) + e^x (8x-2)

Question 9: f(x) = 9x^2 + 4x + 5 then find the value of f'(-1)

(a) -13

(b) 12

(c) -14

(d) 14

Explanation: f’(x) = 18x +4

Question 10: Differentiate

(a)

(b)

(c)

(d)