Solve 3b^4y/4y^412y/b^3

$$\frac { 3 b ^ { 4 } y } { 4 y ^ { 4 } } \frac { 12 y } { b ^ { 3 } }$$

Evaluate

$$\frac{9b}{y^{2}}$$

Solution Steps

Cancel out y in both numerator and denominator.

$$\frac{3b^{4}}{4y^{3}}\times \frac{12y}{b^{3}}$$

Multiply \frac{3b^{4}}{4y^{3}} times \frac{12y}{b^{3}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3b^{4}\times 12y}{4y^{3}b^{3}}$$

Cancel out 4yb^{3} in both numerator and denominator.

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

Multiply 3 and 3 to get 9.

$$\frac{9b}{y^{2}}$$

Differentiate w.r.t. b

$$\frac{9}{y^{2}}$$