Solve x-5(-3x)=

$$x - 5 ( - 3 x ) =$$

Evaluate

$$16x$$

Solution Steps

Multiply 5 and -3 to get -15.

$$x-\left(-15x\right)$$

The opposite of -15x is 15x.

$$x+15x$$

Combine x and 15x to get 16x.

$$16x$$

Differentiate w.r.t. x

$$16$$

Steps Using Definition of a Derivative

Multiply 5 and -3 to get -15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-\left(-15x\right))$$

The opposite of -15x is 15x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+15x)$$

Combine x and 15x to get 16x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16x)$$

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

$$16x^{1-1}$$

Subtract 1 from 1.

$$16x^{0}$$

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

$$16\times 1$$

For any term t, t\times 1=t and 1t=t.

$$16$$