Solve 12x*7x

$$12x \times 7x$$

Evaluate

$$84x^{2}$$

Solution Steps

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

$$12x^{2}\times 7$$

Multiply 12 and 7 to get 84.

$$84x^{2}$$

Differentiate w.r.t. x

$$168x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}\times 7)$$

Multiply 12 and 7 to get 84.

$$\frac{\mathrm{d}}{\mathrm{d}x}(84x^{2})$$

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

$$2\times 84x^{2-1}$$

Multiply 2 times 84.

$$168x^{2-1}$$

Subtract 1 from 2.

$$168x^{1}$$

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

$$168x$$