Solve xsqrt{2^2}

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

Evaluate

$$2x$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$x\sqrt{4}$$

Calculate the square root of 4 and get 2.

$$x\times 2$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x\sqrt{4})$$

Calculate the square root of 4 and get 2.

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

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

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

Subtract 1 from 1.

$$2x^{0}$$

For any term t except 0, t^{0}=1.

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$