Solve -x+6-2x-8x+18=

$$- x + 6 - 2 x - 8 x + 18 =$$

Evaluate

$$24-11x$$

Solution Steps

Combine -2x and -8x to get -10x.

$$-x+6-10x+18$$

Add 6 and 18 to get 24.

$$-x+24-10x$$

Combine -x and -10x to get -11x.

$$-11x+24$$

Differentiate w.r.t. x

$$-11$$

Steps Using Derivative Rule for Sum

Combine -2x and -8x to get -10x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x+6-10x+18)$$

Add 6 and 18 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x+24-10x)$$

Combine -x and -10x to get -11x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x+24)$$

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}.

$$-11x^{1-1}$$

Subtract 1 from 1.

$$-11x^{0}$$

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

$$-11$$