Solve 8x(-1)^3quad

$$8 x ( - 1 ) ^ { 3 } \quad$$

Evaluate

$$-8x$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$8x\left(-1\right)$$

Multiply 8 and -1 to get -8.

$$-8x$$

Differentiate w.r.t. x

$$-8$$

Steps Using Definition of a Derivative

Calculate -1 to the power of 3 and get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x\left(-1\right))$$

Multiply 8 and -1 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-8x)$$

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

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

Subtract 1 from 1.

$$-8x^{0}$$

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

$$-8$$