Solve 12x*3x

$$12 x \cdot 3 x$$

Evaluate

$$36x^{2}$$

Solution Steps

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

$$12x^{2}\times 3$$

Multiply 12 and 3 to get 36.

$$36x^{2}$$

Differentiate w.r.t. x

$$72x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x^{2}\times 3)$$

Multiply 12 and 3 to get 36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(36x^{2})$$

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

$$2\times 36x^{2-1}$$

Multiply 2 times 36.

$$72x^{2-1}$$

Subtract 1 from 2.

$$72x^{1}$$

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

$$72x$$