Solve 3/2x^{2}y^{4}z-2x^{2}y^{4}z+3/4x^2y^4z-7/10x^2y^4z

$$\frac { 3 } { 2 } x ^ { 2 } y ^ { 4 } z - 2 x ^ { 2 } y ^ { 4 } z + \frac { 3 } { 4 } x ^ { 2 } y ^ { 4 } z - \frac { 7 } { 10 } x ^ { 2 } y ^ { 4 } z$$

Evaluate

$$-\frac{9zx^{2}y^{4}}{20}$$

Solution Steps

Combine \frac{3}{2}x^{2}y^{4}z and -2x^{2}y^{4}z to get -\frac{1}{2}x^{2}y^{4}z.

$$-\frac{1}{2}x^{2}y^{4}z+\frac{3}{4}x^{2}y^{4}z-\frac{7}{10}x^{2}y^{4}z$$

Combine -\frac{1}{2}x^{2}y^{4}z and \frac{3}{4}x^{2}y^{4}z to get \frac{1}{4}x^{2}y^{4}z.

$$\frac{1}{4}x^{2}y^{4}z-\frac{7}{10}x^{2}y^{4}z$$

Combine \frac{1}{4}x^{2}y^{4}z and -\frac{7}{10}x^{2}y^{4}z to get -\frac{9}{20}x^{2}y^{4}z.

$$-\frac{9}{20}x^{2}y^{4}z$$

Differentiate w.r.t. x

$$-\frac{9xzy^{4}}{10}$$