Solve -x^2y/4*10y^2/3

$$- \frac { x ^ { 2 } y } { 4 } \times \frac { 10 y ^ { 2 } } { 3 }$$

Evaluate

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

Solution Steps

Multiply -\frac{x^{2}y}{4} times \frac{10y^{2}}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-x^{2}y\times 10y^{2}}{4\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{-5yx^{2}y^{2}}{2\times 3}$$

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

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

Multiply 2 and 3 to get 6.

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

Differentiate w.r.t. x

$$-\frac{5xy^{3}}{3}$$