Solve x^2y/zdivxy/z

$$\frac { x ^ { 2 } y } { z } \div \frac { x y } { z }$$

Evaluate

$$x$$

Solution Steps

Divide \frac{x^{2}y}{z} by \frac{xy}{z} by multiplying \frac{x^{2}y}{z} by the reciprocal of \frac{xy}{z}.

$$\frac{x^{2}yz}{zxy}$$

Cancel out xyz in both numerator and denominator.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Divide \frac{x^{2}y}{z} by \frac{xy}{z} by multiplying \frac{x^{2}y}{z} by the reciprocal of \frac{xy}{z}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}yz}{zxy})$$

Cancel out xyz in both numerator and denominator.

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

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

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$