Solve -2/1*60/x

$$\frac { - 2 } { 1 } \cdot \frac { 60 } { x }$$

Evaluate

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

Solution Steps

Anything divided by one gives itself.

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

Express -2\times \frac{60}{x} as a single fraction.

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

Multiply -2 and 60 to get -120.

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

Differentiate w.r.t. x

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

Steps Using Definition of a Derivative

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2\times \frac{60}{x})$$

Express -2\times \frac{60}{x} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{-2\times 60}{x})$$

Multiply -2 and 60 to get -120.

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

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

$$-\left(-120\right)x^{-1-1}$$

Multiply -1 times -120.

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

Subtract 1 from -1.

$$120x^{-2}$$