Solve xsqrt{2}*xsqrt{2}

$$x \sqrt{ 2 } \times x \sqrt{ 2 }$$

Evaluate

$$2x^{2}$$

Solution Steps

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

$$x^{2}\sqrt{2}\sqrt{2}$$

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

Differentiate w.r.t. x

$$4x$$

Steps Using Definition of a Derivative

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

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

Multiply \sqrt{2} and \sqrt{2} to get 2.

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

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.

$$4x$$