Solve (0,1)4003/x

$$( 0,1 ) 400 \frac { 3 } { x }$$

Evaluate

$$\frac{120}{x}$$

Solution Steps

Multiply 0,1 and 400 to get 40.

$$40\times \frac{3}{x}$$

Express 40\times \frac{3}{x} as a single fraction.

$$\frac{40\times 3}{x}$$

Multiply 40 and 3 to get 120.

$$\frac{120}{x}$$

Differentiate w.r.t. x

$$-\frac{120}{x^{2}}$$

Steps Using Definition of a Derivative

Multiply 0,1 and 400 to get 40.

$$\frac{\mathrm{d}}{\mathrm{d}x}(40\times \frac{3}{x})$$

Express 40\times \frac{3}{x} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{40\times 3}{x})$$

Multiply 40 and 3 to get 120.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{120}{x})$$

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

$$-120x^{-1-1}$$

Subtract 1 from -1.

$$-120x^{-2}$$