Solve -1/sqrt{7}+x^2

$$- \frac { 1 } { \sqrt { 7 } } + x ^ { 2 }$$

Evaluate

$$x^{2}-\frac{\sqrt{7}}{7}$$

Short Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{7}} by multiplying numerator and denominator by \sqrt{7}.

$$-\frac{\sqrt{7}}{\left(\sqrt{7}\right)^{2}}+x^{2}$$

The square of \sqrt{7} is 7.

$$-\frac{\sqrt{7}}{7}+x^{2}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{2} times \frac{7}{7}.

$$-\frac{\sqrt{7}}{7}+\frac{7x^{2}}{7}$$

Since -\frac{\sqrt{7}}{7} and \frac{7x^{2}}{7} have the same denominator, add them by adding their numerators.

$$\frac{-\sqrt{7}+7x^{2}}{7}$$

Differentiate w.r.t. x

$$2x$$