Solve 28x^4y/21x^3+4xy^7/3y^6

$$\frac{ 28 { x }^{ 4 } y }{ 21 { x }^{ 3 } } + \frac{ 4x { y }^{ 7 } }{ 3 { y }^{ 6 } }$$

Evaluate

$$\frac{8xy}{3}$$

Solution Steps

Cancel out 7x^{3} in both numerator and denominator.

$$\frac{4xy}{3}+\frac{4xy^{7}}{3y^{6}}$$

Cancel out y^{6} in both numerator and denominator.

$$\frac{4xy}{3}+\frac{4xy}{3}$$

Combine \frac{4xy}{3} and \frac{4xy}{3} to get \frac{2}{3}\times 4xy.

$$\frac{2}{3}\times 4xy$$

Multiply \frac{2}{3} and 4 to get \frac{8}{3}.

$$\frac{8}{3}xy$$

Differentiate w.r.t. x

$$\frac{8y}{3}$$