Solve 5x+6x+2x

$$5 x + 6 x + 2 x$$

Evaluate

$$13x$$

Solution Steps

Combine 5x and 6x to get 11x.

$$11x+2x$$

Combine 11x and 2x to get 13x.

$$13x$$

Differentiate w.r.t. x

$$13$$

Steps Using Definition of a Derivative

Combine 5x and 6x to get 11x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(11x+2x)$$

Combine 11x and 2x to get 13x.

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

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.

$$13$$