Solve (-xy^2)*(3x^2y)=

$$( - x y ^ { 2 } ) \cdot ( 3 x ^ { 2 } y ) =$$

Evaluate

$$-3\left(xy\right)^{3}$$

Solution Steps

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

$$\left(-x\right)y^{3}\times 3x^{2}$$

Multiply -1 and 3 to get -3.

$$-3xy^{3}x^{2}$$

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

$$-3x^{3}y^{3}$$

Differentiate w.r.t. x

$$-9x^{2}y^{3}$$