Solve 2/3(0+3/2y)

$$\frac { 2 } { 3 } ( 0 + \frac { 3 } { 2 } y )$$

Evaluate

$$y$$

Solution Steps

Anything plus zero gives itself.

$$\frac{2}{3}\times \frac{3}{2}y$$

Cancel out \frac{2}{3} and its reciprocal \frac{3}{2}.

$$y$$

Differentiate w.r.t. y

$$1$$

Steps Using Definition of a Derivative

Anything plus zero gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}y}(\frac{2}{3}\times \frac{3}{2}y)$$

Cancel out \frac{2}{3} and its reciprocal \frac{3}{2}.

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

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

$$y^{1-1}$$

Subtract 1 from 1.

$$y^{0}$$

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

$$1$$