Solve 4ay/5y^5*15y/2a

$$\frac { 4 a y } { 5 y ^ { 5 } } \cdot \frac { 15 y } { 2 a }$$

Evaluate

$$\frac{6}{y^{3}}$$

Solution Steps

Cancel out y in both numerator and denominator.

$$\frac{4a}{5y^{4}}\times \frac{15y}{2a}$$

Multiply \frac{4a}{5y^{4}} times \frac{15y}{2a} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4a\times 15y}{5y^{4}\times 2a}$$

Cancel out 2\times 5ay in both numerator and denominator.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{y^{3}}$$

Differentiate w.r.t. y

$$-\frac{18}{y^{4}}$$