Solve +7/2*(+2x^2y)-4y*(+5x^2)+2xy*(-3/2x)

$$+ \frac { 7 } { 2 } \cdot ( + 2 x ^ { 2 } y ) - 4 y \cdot ( + 5 x ^ { 2 } ) + 2 x y \cdot ( - \frac { 3 } { 2 } x )$$

Evaluate

$$-16yx^{2}$$

Solution Steps

Multiply x and x to get x^{2}.

$$\frac{7}{2}\times 2x^{2}y-4y\times 5x^{2}+2x^{2}y\left(-\frac{3}{2}\right)$$

Multiply \frac{7}{2} and 2 to get 7.

$$7x^{2}y-4y\times 5x^{2}+2x^{2}y\left(-\frac{3}{2}\right)$$

Multiply 4 and 5 to get 20.

$$7x^{2}y-20yx^{2}+2x^{2}y\left(-\frac{3}{2}\right)$$

Combine 7x^{2}y and -20yx^{2} to get -13x^{2}y.

$$-13x^{2}y+2x^{2}y\left(-\frac{3}{2}\right)$$

Multiply 2 and -\frac{3}{2} to get -3.

$$-13x^{2}y-3x^{2}y$$

Combine -13x^{2}y and -3x^{2}y to get -16x^{2}y.

$$-16x^{2}y$$

Differentiate w.r.t. x

$$-32xy$$