Solve (-4z^{3}+3y^{2}-6m+5x^4)+(4y^2-7x^4+10m+7z^3)

$$( - 4 z ^ { 3 } + 3 y ^ { 2 } - 6 m + 5 x ^ { 4 } ) + ( 4 y ^ { 2 } - 7 x ^ { 4 } + 10 m + 7 z ^ { 3 } )$$

Evaluate

$$4m+3z^{3}+7y^{2}-2x^{4}$$

Solution Steps

Combine 3y^{2} and 4y^{2} to get 7y^{2}.

$$-4z^{3}+7y^{2}-6m+5x^{4}-7x^{4}+10m+7z^{3}$$

Combine 5x^{4} and -7x^{4} to get -2x^{4}.

$$-4z^{3}+7y^{2}-6m-2x^{4}+10m+7z^{3}$$

Combine -6m and 10m to get 4m.

$$-4z^{3}+7y^{2}+4m-2x^{4}+7z^{3}$$

Combine -4z^{3} and 7z^{3} to get 3z^{3}.

$$3z^{3}+7y^{2}+4m-2x^{4}$$

Differentiate w.r.t. x

$$-8x^{3}$$