Solve 3*24/p=

$$3 \cdot 2 \frac { 4 } { p } =$$

Evaluate

$$\frac{24}{p}$$

Solution Steps

Multiply 3 and 2 to get 6.

$$6\times \frac{4}{p}$$

Express 6\times \frac{4}{p} as a single fraction.

$$\frac{6\times 4}{p}$$

Multiply 6 and 4 to get 24.

$$\frac{24}{p}$$

Differentiate w.r.t. p

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

Steps Using Definition of a Derivative

Multiply 3 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}p}(6\times \frac{4}{p})$$

Express 6\times \frac{4}{p} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}p}(\frac{6\times 4}{p})$$

Multiply 6 and 4 to get 24.

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

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

$$-24p^{-1-1}$$

Subtract 1 from -1.

$$-24p^{-2}$$