Solve 1x*2x

$$1x \times 2x$$

Evaluate

$$2x^{2}$$

Solution Steps

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

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

Multiply 1 and 2 to get 2.

$$2x^{2}$$

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(1x^{2}\times 2)$$

Multiply 1 and 2 to get 2.

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

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

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

Multiply 2 times 2.

$$4x^{2-1}$$

Subtract 1 from 2.

$$4x^{1}$$

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

$$4x$$