Solve 3(4x)

$$3(4x)$$

Differentiate w.r.t. x

$$12$$

Steps Using Definition of a Derivative

Multiply 3 and 4 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x)$$

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

$$12x^{1-1}$$

Subtract 1 from 1.

$$12x^{0}$$

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

$$12\times 1$$

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

$$12$$

Evaluate

$$12x$$

Solution Steps

Multiply 3 and 4 to get 12.

$$12x$$