Solve 15x-6-35x-15

$$15x-6-35x-15$$

Evaluate

$$-20x-21$$

Solution Steps

Combine 15x and -35x to get -20x.

$$-20x-6-15$$

Subtract 15 from -6 to get -21.

$$-20x-21$$

Differentiate w.r.t. x

$$-20$$

Steps Using Derivative Rule for Sum

Combine 15x and -35x to get -20x.

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

Subtract 15 from -6 to get -21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-20x-21)$$

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}.

$$-20x^{1-1}$$

Subtract 1 from 1.

$$-20x^{0}$$

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

$$-20$$