RD Chapter 30- Derivatives Ex-30.1 |
RD Chapter 30- Derivatives Ex-30.2 |
RD Chapter 30- Derivatives Ex-30.3 |
RD Chapter 30- Derivatives Ex-30.5 |

**x ^{3} sin x**

**Answer
1** :

Let us consider y = x^{3} sinx

We need to find dy/dx

We know that y is a product of two functions say u and v where,

u = x^{3} and v =sin x

∴ y= uv

Now let us apply product rule of differentiation.

By using product rule, we get

**x ^{3} e^{x}**

**Answer
2** :

Let us consider y = x^{3} e^{x}

We need to find dy/dx

We know that y is a product of two functions say u and v where,

u = x^{3} and v = e^{x}

∴ y= uv

Now let us apply product rule of differentiation.

By using product rule, we get

**x ^{2} e^{x} logx**

**Answer
3** :

Let us consider y = x^{2} e^{x} log x

We need to find dy/dx

We know that y is a product of two functions say u and v where,

u = x^{2} and v = e^{x}

∴ y= uv

Now let us apply product rule of differentiation.

By using product rule, we get

**x ^{n} tan x**

**Answer
4** :

Let us consider y = x^{n} tanx

We need to find dy/dx

We know that y is a product of two functions say u and v where,

u = x^{n} and v =tan x

∴ y= uv

Now let us apply product rule of differentiation.

By using product rule, we get

**x ^{n} log_{a} x**

**Answer
5** :

Let us consider y = x^{n} log_{a} x

We need to find dy/dx

We know that y is a product of two functions say u and v where,

u = x^{n} and v = log_{a} x

∴ y= uv

Now let us apply product rule of differentiation.

By using product rule, we get

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