Solve 12*2/y

$$12 \cdot \frac { 2 } { y }$$

Evaluate

$$\frac{24}{y}$$

Solution Steps

Express 12\times \frac{2}{y} as a single fraction.

$$\frac{12\times 2}{y}$$

Multiply 12 and 2 to get 24.

$$\frac{24}{y}$$

Differentiate w.r.t. y

$$-\frac{24}{y^{2}}$$

Steps Using Definition of a Derivative

Express 12\times \frac{2}{y} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{12\times 2}{y})$$

Multiply 12 and 2 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{24}{y})$$

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

$$-24y^{-1-1}$$

Subtract 1 from -1.

$$-24y^{-2}$$