Solve 1/y30^2

$$\frac { 1 } { y } 30 ^ { 2 }$$

Evaluate

$$\frac{900}{y}$$

Solution Steps

Calculate 30 to the power of 2 and get 900.

$$\frac{1}{y}\times 900$$

Express \frac{1}{y}\times 900 as a single fraction.

$$\frac{900}{y}$$

Differentiate w.r.t. y

$$-\frac{900}{y^{2}}$$

Steps Using Definition of a Derivative

Calculate 30 to the power of 2 and get 900.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{1}{y}\times 900)$$

Express \frac{1}{y}\times 900 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{900}{y})$$

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

$$-900y^{-1-1}$$

Subtract 1 from -1.

$$-900y^{-2}$$