Solve frac{x^{3}y^2}{2y^2*2x^2y^2}

$$\frac { x ^ { 3 } y ^ { 2 } } { 2 y ^ { 2 } \cdot 2 x ^ { 2 } y ^ { 2 } }$$

Evaluate

$$\frac{x}{4y^{2}}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

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

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

$$\frac{x}{2\times 2y^{2}}$$

Multiply 2 and 2 to get 4.

$$\frac{x}{4y^{2}}$$

Differentiate w.r.t. x

$$\frac{1}{4y^{2}}$$