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RD Chapter 30- Derivatives Ex-30.3 Interview Questions Answers

Question 1 : Differentiate the following with respect to x:

x4 – 2sin x + 3 cos x

Answer 1 :

Given:

f (x) = x4 – 2sinx + 3 cos x

Differentiate on both the sides with respect to x, we get

Question 2 :

3x + x3 +33

Answer 2 :

Given:

f (x) = 3x + x3 + 33

Differentiate on both the sides with respect to x, we get

Question 3 :

Answer 3 :

Given:

Differentiate on both the sides with respect to x, we get

Question 4 :

ex log a + ealog x + ea log a

Answer 4 :

Given:

f (x) = ex log a +ea log x + ea log a

We know that,

elog f(x) = f(x)

So,

f(x) = ax + xa + aa

Differentiate on both the sides with respect to x, we get

Question 5 :

(2x2 + 1) (3x + 2)

Answer 5 :

Given:

f (x) = (2x2 + 1)(3x + 2)

= 6x3 + 4x2 + 3x + 2

Differentiate on both the sides with respect to x, we get


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RD Chapter 30- Derivatives Ex-30.3 Contributors

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