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)
Answer: (b)
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
Answer: (a)
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
Answer: (c)
Explanation: f'’(x) = 3- 8x
Question 4: Find the differentiation of
(a)
(b)
(c)
(d)
Answer: (d)
Explanation:
Question 5: Differentiate
(a)
(b)
(c)
(d)
Answer: (d)
Explanation:
Question 6: Find 
(a)
(b)
(c)
(d)
Answer: (c)
Explanation:
Question 7: Differentiate
(a) x^2
(b)
(c) 5
(d) -3x^2
Answer: (d)
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)
Answer: (c)
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
Answer: (c)
Explanation: f’(x) = 18x +4
Question 10: Differentiate
(a)
(b)
(c)
(d)
Answer: (b)
Explanation: y' = 
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