Solve sqrt2-9^2/U

$$\frac { \sqrt { 2 - 9 } ^ { 2 } } { U }$$

Evaluate (complex solution)

$$-\frac{7}{U}$$

Solution Steps

Subtract 9 from 2 to get -7.

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

The square of \sqrt{-7} is -7.

$$\frac{-7}{U}$$

Evaluate

$$\text{Indeterminate}$$

Solution Steps

Subtract 9 from 2 to get -7.

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

Calculate \sqrt{-7} to the power of 2 and get -7.

$$\frac{-7}{U}$$

Differentiate w.r.t. U

$$\text{Indeterminate}$$

Steps Using Definition of a Derivative

Subtract 9 from 2 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}U}(\frac{\left(\sqrt{-7}\right)^{2}}{U})$$

Calculate \sqrt{-7} to the power of 2 and get -7.

$$\frac{\mathrm{d}}{\mathrm{d}U}(\frac{-7}{U})$$

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

$$-\left(-7\right)U^{-1-1}$$

Multiply -1 times -7.

$$7U^{-1-1}$$

Subtract 1 from -1.

$$7U^{-2}$$