Solve 34/x?5

$$3 \frac { 4 } { x } ? 5$$

Evaluate

$$\frac{60}{x}$$

Solution Steps

Multiply 3 and 5 to get 15.

$$15\times \frac{4}{x}$$

Express 15\times \frac{4}{x} as a single fraction.

$$\frac{15\times 4}{x}$$

Multiply 15 and 4 to get 60.

$$\frac{60}{x}$$

Differentiate w.r.t. x

$$-\frac{60}{x^{2}}$$

Steps Using Definition of a Derivative

Multiply 3 and 5 to get 15.

$$\frac{\mathrm{d}}{\mathrm{d}x}(15\times \frac{4}{x})$$

Express 15\times \frac{4}{x} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{15\times 4}{x})$$

Multiply 15 and 4 to get 60.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{60}{x})$$

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

$$-60x^{-1-1}$$

Subtract 1 from -1.

$$-60x^{-2}$$