Solve 2x-3x(-6)=

$$2 x - 3 x ( - 6 ) =$$

Evaluate

$$20x$$

Solution Steps

Multiply 3 and -6 to get -18.

$$2x-\left(-18x\right)$$

The opposite of -18x is 18x.

$$2x+18x$$

Combine 2x and 18x to get 20x.

$$20x$$

Differentiate w.r.t. x

$$20$$

Steps Using Definition of a Derivative

Multiply 3 and -6 to get -18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x-\left(-18x\right))$$

The opposite of -18x is 18x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x+18x)$$

Combine 2x and 18x to get 20x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(20x)$$

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

$$20x^{1-1}$$

Subtract 1 from 1.

$$20x^{0}$$

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

$$20\times 1$$

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

$$20$$