Solve 4xy/2x

$$\frac { 4 x y } { 2 x }$$

Differentiate w.r.t. y

$$2$$

Steps Using Definition of a Derivative

Cancel out 2x in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}y}(2y)$$

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

$$2y^{1-1}$$

Subtract 1 from 1.

$$2y^{0}$$

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

$$2\times 1$$

For any term t, t\times 1=t and 1t=t.

$$2$$

Evaluate

$$2y$$

Solution Steps

Cancel out 2x in both numerator and denominator.

$$2y$$