Solve frac{sqrt{4}+x^2}{}

$$\frac{ \sqrt{ 4 } + { x }^{ 2 } }{ }$$

Evaluate

$$x^{2}+2$$

Solution Steps

Calculate the square root of 4 and get 2.

$$\frac{2+x^{2}}{1}$$

Anything divided by one gives itself.

$$2+x^{2}$$

Differentiate w.r.t. x

$$2x$$

Steps Using Derivative Rule for Sum

Calculate the square root of 4 and get 2.

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

Anything divided by one gives itself.

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

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 2.

$$2x^{1}$$

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

$$2x$$