Solve 4x*-x=

$$4x \times -x=$$

Evaluate

$$-4x^{2}$$

Solution Steps

Multiply 4 and -1 to get -4.

$$-4xx$$

Multiply x and x to get x^{2}.

$$-4x^{2}$$

Differentiate w.r.t. x

$$-8x$$

Steps Using Definition of a Derivative

Multiply 4 and -1 to get -4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4xx)$$

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-4x^{2})$$

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

$$2\left(-4\right)x^{2-1}$$

Multiply 2 times -4.

$$-8x^{2-1}$$

Subtract 1 from 2.

$$-8x^{1}$$

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

$$-8x$$