Solve 50divx/60

$$50 \div \frac { x } { 60 }$$

Evaluate

$$\frac{3000}{x}$$

Solution Steps

Divide 50 by \frac{x}{60} by multiplying 50 by the reciprocal of \frac{x}{60}.

$$\frac{50\times 60}{x}$$

Multiply 50 and 60 to get 3000.

$$\frac{3000}{x}$$

Differentiate w.r.t. x

$$-\frac{3000}{x^{2}}$$

Steps Using Definition of a Derivative

Divide 50 by \frac{x}{60} by multiplying 50 by the reciprocal of \frac{x}{60}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{50\times 60}{x})$$

Multiply 50 and 60 to get 3000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{3000}{x})$$

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

$$-3000x^{-1-1}$$

Subtract 1 from -1.

$$-3000x^{-2}$$