Solve (-9x^2-2x)-(-9x^2-3x)

$$( - 9 x ^ { 2 } - 2 x ) - ( - 9 x ^ { 2 } - 3 x )$$

Evaluate

$$x$$

Solution Steps

To find the opposite of -9x^{2}-3x, find the opposite of each term.

$$-9x^{2}-2x+9x^{2}+3x$$

Combine -9x^{2} and 9x^{2} to get 0.

$$-2x+3x$$

Combine -2x and 3x to get x.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

To find the opposite of -9x^{2}-3x, find the opposite of each term.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-9x^{2}-2x+9x^{2}+3x)$$

Combine -9x^{2} and 9x^{2} to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x+3x)$$

Combine -2x and 3x to get x.

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

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

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

$$1$$