Solve 2x-8x+15x-20=

$$2 x - 8 x + 15 x - 20 =$$

Evaluate

$$9x-20$$

Solution Steps

Combine 2x and -8x to get -6x.

$$-6x+15x-20$$

Combine -6x and 15x to get 9x.

$$9x-20$$

Differentiate w.r.t. x

$$9$$

Steps Using Derivative Rule for Sum

Combine 2x and -8x to get -6x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x+15x-20)$$

Combine -6x and 15x to get 9x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9x-20)$$

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}.

$$9x^{1-1}$$

Subtract 1 from 1.

$$9x^{0}$$

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

$$9\times 1$$

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

$$9$$