Solve 12x*4x

$$12 x \times 4 x$$

Evaluate

$$48x^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$12x^{2}\times 4$$

Multiply 12 and 4 to get 48.

$$48x^{2}$$

Differentiate w.r.t. x

$$96x$$

Steps Using Definition of a Derivative

Multiply x and x to get x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}\times 4)$$

Multiply 12 and 4 to get 48.

$$\frac{\mathrm{d}}{\mathrm{d}x}(48x^{2})$$

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

$$2\times 48x^{2-1}$$

Multiply 2 times 48.

$$96x^{2-1}$$

Subtract 1 from 2.

$$96x^{1}$$

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

$$96x$$