Solve 7x^2y^2/12y^3*18y/28x

$$\frac { 7 x ^ { 2 } y ^ { 2 } } { 12 y ^ { 3 } } \cdot \frac { 18 y } { 28 x }$$

Evaluate

$$\frac{3x}{8}$$

Solution Steps

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

$$\frac{7x^{2}}{12y}\times \frac{18y}{28x}$$

Cancel out 2 in both numerator and denominator.

$$\frac{7x^{2}}{12y}\times \frac{9y}{14x}$$

Multiply \frac{7x^{2}}{12y} times \frac{9y}{14x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7x^{2}\times 9y}{12y\times 14x}$$

Cancel out 3\times 7xy in both numerator and denominator.

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

Multiply 2 and 4 to get 8.

$$\frac{3x}{8}$$

Differentiate w.r.t. x

$$\frac{3}{8} = 0.375$$