Solve 5/2yquad3/yquad7/5

$$\frac { 5 } { 2 y } \quad \frac { 3 } { y } \quad \frac { 7 } { 5 }$$

Evaluate

$$\frac{21}{2y^{2}}$$

Solution Steps

Multiply \frac{5}{2y} times \frac{3}{y} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{2yy}\times \frac{7}{5}$$

Multiply \frac{5\times 3}{2yy} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3\times 7}{2yy\times 5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3\times 7}{2yy}$$

Multiply y and y to get y^{2}.

$$\frac{3\times 7}{2y^{2}}$$

Multiply 3 and 7 to get 21.

$$\frac{21}{2y^{2}}$$

Differentiate w.r.t. y

$$-\frac{21}{y^{3}}$$