# RD Sharma Class 12 Ex 11.1 Solutions Chapter 11 Differentiation

Here we provide RD Sharma Class 12 Ex 11.1 Solutions Chapter 11 Differentiation for English medium students, Which will very helpful for every student in their exams. Students can download the RD Sharma Class 12 Ex 11.1 Solutions Chapter 11 Differentiation book pdf download. Now you will get step-by-step solutions to each question.

## RD Sharma Class 12 Ex 11.1 Solutions Chapter 11 Differentiation

Solution:

We have,

Let,

f(x)=e-x

f(x+h)=e-(x+h)

=-e-x

Solution:

We have,

Let,

f(x)=e3x

f(x+h)=e3(x+h)

=3e3x

Solution:

We have,

Let,

f(x)=eax+b

f(x+h)=ea(x+h)+b

=aeax+b

Solution:

We have,

Let,

f(x)=ecosx

f(x+h)=ecos(x+h)

=ecosx(-sinx)

=-sinx.ecosx

### Question 5. Differentiate the following functions from first principles e√2x

Solution:

We have,

Let,

f(x)=e√2x

f(x+h)=e√2(x+h) (After rationalising the numerator)

### Question 6. Differentiate the following functions from first principles log(cosx)

Solution:

We have,

Let,

f(x)=log(cosx)

f(x+h)=log(cos(x+h))

Since, =-(2sinx)/(2cosx)

=-tanx

### Question 7. Differentiate the following functions from first principles e√cotx

Solution:

We have,

Let,

f(x)=e√cotx

f(x+h)=e√cot(x+h)

since,  (After rationalising the numerator)

Since, ### Question 8. Differentiate the following functions from first principles x2ex

Solution:

We have,

Let,

f(x)=x2ex

f(x+h)=(x+h)2e(x+h)

Since, =x2ex+2xex+0

=ex(x2+2x)

### Question 9. Differentiate the following functions from first principles log(cosecx)

Solution:

We have,

Let,

f(x)=log(cosecx)

f(x+h)=log(cosec(x+h))

=-cotx

### Question 10. Differentiate the following functions from first principles sin-1(2x+3)

Solution:

We have,

Let,

f(x)=sin-1(2x+3)

f(x+h)=sin-1[2(x+h)+3]

f(x+h)=sin-1(2x+2h+3)

Where  (After rationalising the numerator)

Solving above equation

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