Solve 2/x*15

$$\frac { 2 } { x } \cdot 15$$

Evaluate

$$\frac{30}{x}$$

Solution Steps

Express \frac{2}{x}\times 15 as a single fraction.

$$\frac{2\times 15}{x}$$

Multiply 2 and 15 to get 30.

$$\frac{30}{x}$$

Differentiate w.r.t. x

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

Steps Using Definition of a Derivative

Express \frac{2}{x}\times 15 as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2\times 15}{x})$$

Multiply 2 and 15 to get 30.

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

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

$$-30x^{-1-1}$$

Subtract 1 from -1.

$$-30x^{-2}$$