Solve u:3/2:4n

$$u : \frac { 3 } { 2 } : 4 n$$

Evaluate

$$\frac{nu}{6}$$

Solution Steps

Express \frac{\frac{u}{\frac{3}{2}}}{4} as a single fraction.

$$\frac{u}{\frac{3}{2}\times 4}n$$

Express \frac{3}{2}\times 4 as a single fraction.

$$\frac{u}{\frac{3\times 4}{2}}n$$

Multiply 3 and 4 to get 12.

$$\frac{u}{\frac{12}{2}}n$$

Divide 12 by 2 to get 6.

$$\frac{u}{6}n$$

Express \frac{u}{6}n as a single fraction.

$$\frac{un}{6}$$

Differentiate w.r.t. u

$$\frac{n}{6}$$