Solve y+3/4y=

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

Differentiate w.r.t. y

$$\frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps Using Definition of a Derivative

Combine y and \frac{3}{4}y to get \frac{7}{4}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{7}{4}y)$$

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

$$\frac{7}{4}y^{1-1}$$

Subtract 1 from 1.

$$\frac{7}{4}y^{0}$$

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

$$\frac{7}{4}\times 1$$

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

$$\frac{7}{4}$$

Evaluate

$$\frac{7y}{4}$$

Solution Steps

Combine y and \frac{3}{4}y to get \frac{7}{4}y.

$$\frac{7}{4}y$$