Solve 23p/2p^3q^5*2p^3q^2/11

$$\frac { 23 p } { 2 p ^ { 3 } q ^ { 5 } } \cdot \frac { 2 p ^ { 3 } q ^ { 2 } } { 11 }$$

Evaluate

$$\frac{23p}{11q^{3}}$$

Solution Steps

Cancel out p in both numerator and denominator.

$$\frac{23}{2p^{2}q^{5}}\times \frac{2p^{3}q^{2}}{11}$$

Multiply \frac{23}{2p^{2}q^{5}} times \frac{2p^{3}q^{2}}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{23\times 2p^{3}q^{2}}{2p^{2}q^{5}\times 11}$$

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

$$\frac{23p}{11q^{3}}$$

Differentiate w.r.t. q

$$-\frac{69p}{11q^{4}}$$