Solve frac{14a^{3}x}{15x^{4}y}*5x^3y^2/7a^4x^2=

$$\frac { 14 a ^ { 3 } x } { 15 x ^ { 4 } y } \cdot \frac { 5 x ^ { 3 } y ^ { 2 } } { 7 a ^ { 4 } x ^ { 2 } } =$$

Evaluate

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

Solution Steps

Cancel out x in both numerator and denominator.

$$\frac{14a^{3}}{15yx^{3}}\times \frac{5x^{3}y^{2}}{7a^{4}x^{2}}$$

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

$$\frac{14a^{3}}{15yx^{3}}\times \frac{5xy^{2}}{7a^{4}}$$

Multiply \frac{14a^{3}}{15yx^{3}} times \frac{5xy^{2}}{7a^{4}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14a^{3}\times 5xy^{2}}{15yx^{3}\times 7a^{4}}$$

Cancel out 5\times 7xya^{3} in both numerator and denominator.

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

Differentiate w.r.t. x

$$-\frac{4y}{3ax^{3}}$$