Solve 8y/8+10

$$\frac { 8 y } { 8 + 10 }$$

Evaluate

$$\frac{4y}{9}$$

Solution Steps

Add 8 and 10 to get 18.

$$\frac{8y}{18}$$

Divide 8y by 18 to get \frac{4}{9}y.

$$\frac{4}{9}y$$

Differentiate w.r.t. y

$$\frac{4}{9} = 0.4444444444444444$$

Steps Using Definition of a Derivative

Add 8 and 10 to get 18.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{8y}{18})$$

Divide 8y by 18 to get \frac{4}{9}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{4}{9}y)$$

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

$$\frac{4}{9}y^{1-1}$$

Subtract 1 from 1.

$$\frac{4}{9}y^{0}$$

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

$$\frac{4}{9}\times 1$$

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

$$\frac{4}{9}$$