Solve 1:3/2v=

$$1 : \frac { 3 } { 2 } v =$$

Evaluate

$$\frac{2v}{3}$$

Solution Steps

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

$$1\times \frac{2}{3}v$$

Multiply 1 and \frac{2}{3} to get \frac{2}{3}.

$$\frac{2}{3}v$$

Differentiate w.r.t. v

$$\frac{2}{3} = 0.6666666666666666$$

Steps Using Definition of a Derivative

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

$$\frac{2}{3}v^{1-1}$$

Subtract 1 from 1.

$$\frac{2}{3}v^{0}$$

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

$$\frac{2}{3}\times 1$$

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

$$\frac{2}{3}$$