Solve 2x^5/3y^6/5x^4

$$\frac { \frac { 2 x ^ { 5 } } { 3 y ^ { 6 } } } { 5 x ^ { 4 } }$$

Evaluate

$$\frac{2x}{15y^{6}}$$

Solution Steps

Express \frac{\frac{2x^{5}}{3y^{6}}}{5x^{4}} as a single fraction.

$$\frac{2x^{5}}{3y^{6}\times 5x^{4}}$$

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

$$\frac{2x}{3\times 5y^{6}}$$

Multiply 3 and 5 to get 15.

$$\frac{2x}{15y^{6}}$$

Differentiate w.r.t. x

$$\frac{2}{15y^{6}}$$