Solve 3x+1(10x-3)

$$3 x + 1 ( 10 x - 3 )$$

Evaluate

$$13x-3$$

Solution Steps

Use the distributive property to multiply 1 by 10x-3.

$$3x+10x-3$$

Combine 3x and 10x to get 13x.

$$13x-3$$

Differentiate w.r.t. x

$$13$$

Steps Using Derivative Rule for Sum

Use the distributive property to multiply 1 by 10x-3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+10x-3)$$

Combine 3x and 10x to get 13x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(13x-3)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$13x^{1-1}$$

Subtract 1 from 1.

$$13x^{0}$$

For any term t except 0, t^{0}=1.

$$13\times 1$$

For any term t, t\times 1=t and 1t=t.

$$13$$