Solve b^2c/12c^4*10c/3b^2

$$\frac { b ^ { 2 } c } { 12 c ^ { 4 } } \cdot \frac { 10 c } { 3 b ^ { 2 } }$$

Evaluate

$$\frac{5}{18c^{2}}$$

Solution Steps

Cancel out c in both numerator and denominator.

$$\frac{b^{2}}{12c^{3}}\times \frac{10c}{3b^{2}}$$

Multiply \frac{b^{2}}{12c^{3}} times \frac{10c}{3b^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{b^{2}\times 10c}{12c^{3}\times 3b^{2}}$$

Cancel out 2cb^{2} in both numerator and denominator.

$$\frac{5}{3\times 6c^{2}}$$

Multiply 3 and 6 to get 18.

$$\frac{5}{18c^{2}}$$

Differentiate w.r.t. c

$$-\frac{5}{9c^{3}}$$