Solve 2x+3(5x)

$$2 x + 3 ( 5 x )$$

Evaluate

$$17x$$

Solution Steps

Multiply 3 and 5 to get 15.

$$2x+15x$$

Combine 2x and 15x to get 17x.

$$17x$$

Differentiate w.r.t. x

$$17$$

Steps Using Definition of a Derivative

Multiply 3 and 5 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+15x)$$

Combine 2x and 15x to get 17x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17x)$$

The derivative of ax^{n} is nax^{n-1}.

$$17x^{1-1}$$

Subtract 1 from 1.

$$17x^{0}$$

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

$$17\times 1$$

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

$$17$$