Solve 0-6y/28-1=

$$\frac { 0 - 6 y } { 28 - 1 } =$$

Evaluate

$$-\frac{2y}{9}$$

Solution Steps

Anything plus zero gives itself.

$$\frac{-6y}{28-1}$$

Subtract 1 from 28 to get 27.

$$\frac{-6y}{27}$$

Divide -6y by 27 to get -\frac{2}{9}y.

$$-\frac{2}{9}y$$

Differentiate w.r.t. y

$$-\frac{2}{9} = -0.2222222222222222$$

Steps Using Definition of a Derivative

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-6y}{28-1})$$

Subtract 1 from 28 to get 27.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{-6y}{27})$$

Divide -6y by 27 to get -\frac{2}{9}y.

$$\frac{\mathrm{d}}{\mathrm{d}y}(-\frac{2}{9}y)$$

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

$$-\frac{2}{9}y^{1-1}$$

Subtract 1 from 1.

$$-\frac{2}{9}y^{0}$$

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

$$-\frac{2}{9}$$