Solve x^2+7x-7x^2-7x)

$$x ^ { 2 } + 7 x - 7 x ^ { 2 } - 7 x )$$

Evaluate

$$-6x^{2}$$

Solution Steps

Combine x^{2} and -7x^{2} to get -6x^{2}.

$$-6x^{2}+7x-7x$$

Combine 7x and -7x to get 0.

$$-6x^{2}$$

Differentiate w.r.t. x

$$-12x$$

Steps Using Definition of a Derivative

Combine x^{2} and -7x^{2} to get -6x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{2}+7x-7x)$$

Combine 7x and -7x to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6x^{2})$$

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

$$2\left(-6\right)x^{2-1}$$

Multiply 2 times -6.

$$-12x^{2-1}$$

Subtract 1 from 2.

$$-12x^{1}$$

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

$$-12x$$