Solve 5(-x)+6(-x)

$$5 ( - x ) + 6 ( - x )$$

Evaluate

$$-11x$$

Solution Steps

Combine 5\left(-x\right) and 6\left(-x\right) to get 11\left(-x\right).

$$11\left(-x\right)$$

Multiply 11 and -1 to get -11.

$$-11x$$

Differentiate w.r.t. x

$$-11$$

Steps Using Definition of a Derivative

Combine 5\left(-x\right) and 6\left(-x\right) to get 11\left(-x\right).

$$\frac{\mathrm{d}}{\mathrm{d}x}(11\left(-x\right))$$

Multiply 11 and -1 to get -11.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-11x)$$

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

$$-11x^{1-1}$$

Subtract 1 from 1.

$$-11x^{0}$$

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

$$-11$$