Solve -9y^2(-frac{2{4})}

$$- 9 y ^ { 2 ( - \frac { 2 } { 4 } ) }$$

Evaluate

$$-\frac{9}{y}$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$-9y^{2\left(-\frac{1}{2}\right)}$$

Multiply 2 and -\frac{1}{2} to get -1.

$$-9y^{-1}$$

Differentiate w.r.t. y

$$\frac{9}{y^{2}}$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9y^{2\left(-\frac{1}{2}\right)})$$

Multiply 2 and -\frac{1}{2} to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-9y^{-1})$$

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

$$-\left(-9\right)y^{-1-1}$$

Multiply -1 times -9.

$$9y^{-1-1}$$

Subtract 1 from -1.

$$9y^{-2}$$