Solve (9x-1)+6x

$$( 9 x - 1 ) + 6 x$$

Differentiate w.r.t. x

$$15$$

Steps Using Derivative Rule for Sum

Combine 9x and 6x to get 15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15x-1)$$

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}.

$$15x^{1-1}$$

Subtract 1 from 1.

$$15x^{0}$$

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

$$15\times 1$$

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

$$15$$

Evaluate

$$15x-1$$

Solution Steps

Combine 9x and 6x to get 15x.

$$15x-1$$