Solve 8(-x)+6(-x)

$$8 ( - x ) + 6 ( - x )$$

Evaluate

$$-14x$$

Solution Steps

Combine 8\left(-x\right) and 6\left(-x\right) to get 14\left(-x\right).

$$14\left(-x\right)$$

Multiply 14 and -1 to get -14.

$$-14x$$

Differentiate w.r.t. x

$$-14$$

Steps Using Definition of a Derivative

Combine 8\left(-x\right) and 6\left(-x\right) to get 14\left(-x\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(14\left(-x\right))$$

Multiply 14 and -1 to get -14.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-14x)$$

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

$$-14x^{1-1}$$

Subtract 1 from 1.

$$-14x^{0}$$

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

$$-14$$