Solve 2(3x)(4)

$$2(3x)(4)$$

Evaluate

$$24x$$

Solution Steps

Multiply 2 and 3 to get 6.

$$6x\times 4$$

Multiply 6 and 4 to get 24.

$$24x$$

Differentiate w.r.t. x

$$24$$

Steps Using Definition of a Derivative

Multiply 2 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x\times 4)$$

Multiply 6 and 4 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x)$$

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

$$24x^{1-1}$$

Subtract 1 from 1.

$$24x^{0}$$

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

$$24\times 1$$

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

$$24$$