RD Chapter 30- Derivatives Ex-30.1 |
RD Chapter 30- Derivatives Ex-30.2 |
RD Chapter 30- Derivatives Ex-30.4 |
RD Chapter 30- Derivatives Ex-30.5 |

**x ^{4} – 2sin x + 3 cos x**

**Answer
1** :

Given:

f (x) = x^{4} – 2sinx + 3 cos x

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

**3 ^{x} + x^{3} +3^{3}**

**Answer
2** :

Given:

f (x) = 3^{x} + x^{3} + 3^{3}

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

**Answer
3** :

Given:

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

**e ^{x log a} + e^{alog x} + e^{a log a}**

**Answer
4** :

Given:

f (x) = e^{x log a} +e^{a log x} + e^{a log a}

We know that,

e^{log f(x)} = f(x)

So,

f(x) = a^{x} + x^{a} + a^{a}

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

**(2x ^{2} + 1) (3x + 2)**

**Answer
5** :

Given:

f (x) = (2x^{2} + 1)(3x + 2)

= 6x^{3} + 4x^{2} + 3x + 2

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

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