Solve y-y/4=

$$y - \frac { y } { 4 } =$$

Differentiate w.r.t. y

$$\frac{3}{4} = 0.75$$

Steps Using Definition of a Derivative

Combine y and -\frac{y}{4} to get \frac{3}{4}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{3}{4}y)$$

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

$$\frac{3}{4}y^{1-1}$$

Subtract 1 from 1.

$$\frac{3}{4}y^{0}$$

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

$$\frac{3}{4}\times 1$$

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

$$\frac{3}{4}$$

Evaluate

$$\frac{3y}{4}$$

Solution Steps

Combine y and -\frac{y}{4} to get \frac{3}{4}y.

$$\frac{3}{4}y$$