﻿ If the function  then the value ofg’(1) is : Kaysons Education

# If The Function  then The Value Ofg’(1) Is

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## Question

### Solution

Correct option is

2

Since g(x) = f –1 (x) so f (g(x)) = x for all x. differentiating

f’(g(x)) g’(x) = 1.

Let g(1) = K, then (g(1)) = 1 f(k) = 1. Since (0) = 1 and is continuous and increasing function so one-one thus k = 0. Putting x = 1 in (i), we getf’(0) g’(1) = 1. But f’(x) = 3x2 + (1/2) ex/2 ⇒ f’(0) = 1/2

#### SIMILAR QUESTIONS

Q1
Q3

for real and y. If f’(0) exists and equals – 1 and (0) = 1 then the value of f(2) is

Q4

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Q5

and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x – 1| at x = 1. If

Q6

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Q7

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Q8

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Q9

Let F(x) = f(xg(xh(x) for all real x, where f(x), g(x) and h(x) are differentiable functions. At some point x0,