Solve x^2+1divsqrt{2056663}

$${ x }^{ 2 } +1 \div \sqrt{ 2056663 }$$

Evaluate

$$x^{2}+\frac{\sqrt{2056663}}{2056663}$$

Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{2056663}} by multiplying numerator and denominator by \sqrt{2056663}.

$$x^{2}+\frac{\sqrt{2056663}}{\left(\sqrt{2056663}\right)^{2}}$$

The square of \sqrt{2056663} is 2056663.

$$x^{2}+\frac{\sqrt{2056663}}{2056663}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{2056663}{2056663}.

$$\frac{2056663x^{2}}{2056663}+\frac{\sqrt{2056663}}{2056663}$$

Since \frac{2056663x^{2}}{2056663} and \frac{\sqrt{2056663}}{2056663} have the same denominator, add them by adding their numerators.

$$\frac{2056663x^{2}+\sqrt{2056663}}{2056663}$$

Differentiate w.r.t. x

$$2x$$