Solve 3*6(4x)

$$3 \times 6 ( 4 x )$$

Evaluate

$$72x$$

Solution Steps

Multiply 3 and 6 to get 18.

$$18\times 4x$$

Multiply 18 and 4 to get 72.

$$72x$$

Differentiate w.r.t. x

$$72$$

Steps Using Definition of a Derivative

Multiply 3 and 6 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}x}(18\times 4x)$$

Multiply 18 and 4 to get 72.

$$\frac{\mathrm{d}}{\mathrm{d}x}(72x)$$

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

$$72x^{1-1}$$

Subtract 1 from 1.

$$72x^{0}$$

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

$$72\times 1$$

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

$$72$$