Solve -2a^{3})(a^{3}-2ab^{2})+(2a^{2}b-6a^{2}b^{2})(a^{2}+b)+a^{2}(2a^{4}-b^2)+a^2b^2(2a^2+

$$- 2 a ^ { 3 } ) ( a ^ { 3 } - 2 a b ^ { 2 } ) + ( 2 a ^ { 2 } b - 6 a ^ { 2 } b ^ { 2 } ) ( a ^ { 2 } + b ) + a ^ { 2 } ( 2 a ^ { 4 } - b ^ { 2 } ) + a ^ { 2 } b ^ { 2 } ( 2 a ^ { 2 } +$$

Differentiate w.r.t. a

$$-6a^{2}$$

Steps Using Definition of a Derivative

The derivative of ax^{n} is nax^{n-1}.

$$3\left(-2\right)a^{3-1}$$

Multiply 3 times -2.

$$-6a^{3-1}$$

Subtract 1 from 3.

$$-6a^{2}$$

Evaluate

$$-2a^{3}$$