Solve 5x(6)/xy

$$\frac { 5 x ( 6 ) } { x y }$$

Evaluate

$$\frac{30}{y}$$

Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{5\times 6}{y}$$

Multiply 5 and 6 to get 30.

$$\frac{30}{y}$$

Differentiate w.r.t. y

$$-\frac{30}{y^{2}}$$

Steps Using Definition of a Derivative

Cancel out x in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{5\times 6}{y})$$

Multiply 5 and 6 to get 30.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{30}{y})$$

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

$$-30y^{-1-1}$$

Subtract 1 from -1.

$$-30y^{-2}$$