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RD Chapter 30 Derivatives Ex 30.3 Solutions

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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