Solve (-xy^3)(4x^2y)

$$( - x y ^ { 3 } ) ( 4 x ^ { 2 } y )$$

Evaluate

$$-4x^{3}y^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\left(-x\right)y^{4}\times 4x^{2}$$

Multiply -1 and 4 to get -4.

$$-4xy^{4}x^{2}$$

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

$$-4x^{3}y^{4}$$

Differentiate w.r.t. x

$$-12x^{2}y^{4}$$