Solve 13/a*5

$$\frac { 13 } { a } \times 5$$

Evaluate

$$\frac{65}{a}$$

Solution Steps

Express \frac{13}{a}\times 5 as a single fraction.

$$\frac{13\times 5}{a}$$

Multiply 13 and 5 to get 65.

$$\frac{65}{a}$$

Differentiate w.r.t. a

$$-\frac{65}{a^{2}}$$

Steps Using Definition of a Derivative

Express \frac{13}{a}\times 5 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{13\times 5}{a})$$

Multiply 13 and 5 to get 65.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{65}{a})$$

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

$$-65a^{-1-1}$$

Subtract 1 from -1.

$$-65a^{-2}$$