Solve 2:3:5:lambda

$$2 : 3 : 5 : \lambda$$

Evaluate

$$\frac{2}{15\lambda }$$

Solution Steps

Express \frac{\frac{\frac{2}{3}}{5}}{\lambda } as a single fraction.

$$\frac{\frac{2}{3}}{5\lambda }$$

Express \frac{\frac{2}{3}}{5\lambda } as a single fraction.

$$\frac{2}{3\times 5\lambda }$$

Multiply 3 and 5 to get 15.

$$\frac{2}{15\lambda }$$

Differentiate w.r.t. λ

$$-\frac{2}{15\lambda ^{2}}$$

Steps Using Definition of a Derivative

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

$$-\frac{2}{15}\lambda ^{-1-1}$$

Subtract 1 from -1.

$$-\frac{2}{15}\lambda ^{-2}$$