﻿ Differentiate ax wrt x from first principles. : Kaysons Education

# Differentiate ax wrt x from First Principles.

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

f’(x) = ax log a.

Let f (x) = ax

Using the definition of derivatives,

Hence f’(x) = ax log a.

#### SIMILAR QUESTIONS

Q1

Let f : R+ → R satisfies the functional equation

.

If f’(1) = e, determine f (x).

Q2

Let f is a differentiable function such that

.

Q3

Let f be a function such that  .

.

Q4

Find and b so that the function:

Q5

is continuous at x = 0, find the values of Aand B. Also find f (0).

Q6

Find the natural number a for which  where the function f satisfies the relation f (x + y) = f (xf (y) for all natural number xy and further f (1) = 2.

Q7

Find the derivative of y = log x wrt x from first principles.

Q8

Evaluate the derivative of f (x) = xn wrt x from definition of derivative. Hence find the derivative of wrt x.

Q9

Find the derivative of sin x wrt x from first principles.

Q10

Differentiate sin (log x) wrt x from first principles.