Suppose f:R(\rightarrow)R be given by f(x)={(e^{(x^{10}-1)}+... | Mathematics | SolveeIt | Solveeit

Today, August 19

Question

Suppose f:R $\rightarrow$ R be given by f(x)={ $e^{(x^{10}-1)}+(x-1)^2sin\frac{1}{1-x},if\,\,\,x\neq1$ }, then

A

f'(1) does not exist

B

f'(1) exists and is zero

C

f'(1) exist and is 9

D

f'(1) exists and is 10

Answer

f'(1) exists and is 10

Explanation

Solution

The correct answer is option (D): f'(1) exists and is 10