Solve 2x^{5}-4x^{3}+6x^{2}-7x-4x^{4}-6x^{3}-2x^2+5x-4-3x^4-5x^3-6x^2-9x+3

$$2 x ^ { 5 } - 4 x ^ { 3 } + 6 x ^ { 2 } - 7 x - 4 x ^ { 4 } - 6 x ^ { 3 } - 2 x ^ { 2 } + 5 x - 4 - 3 x ^ { 4 } - 5 x ^ { 3 } - 6 x ^ { 2 } - 9 x + 3$$

Evaluate

$$2x^{5}-7x^{4}-15x^{3}-2x^{2}-11x-1$$

Solution Steps

Combine -4x^{3} and -6x^{3} to get -10x^{3}.

$$2x^{5}-10x^{3}+6x^{2}-7x-4x^{4}-2x^{2}+5x-4-3x^{4}-5x^{3}-6x^{2}-9x+3$$

Combine 6x^{2} and -2x^{2} to get 4x^{2}.

$$2x^{5}-10x^{3}+4x^{2}-7x-4x^{4}+5x-4-3x^{4}-5x^{3}-6x^{2}-9x+3$$

Combine -7x and 5x to get -2x.

$$2x^{5}-10x^{3}+4x^{2}-2x-4x^{4}-4-3x^{4}-5x^{3}-6x^{2}-9x+3$$

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

$$2x^{5}-10x^{3}+4x^{2}-2x-7x^{4}-4-5x^{3}-6x^{2}-9x+3$$

Combine -10x^{3} and -5x^{3} to get -15x^{3}.

$$2x^{5}-15x^{3}+4x^{2}-2x-7x^{4}-4-6x^{2}-9x+3$$

Combine 4x^{2} and -6x^{2} to get -2x^{2}.

$$2x^{5}-15x^{3}-2x^{2}-2x-7x^{4}-4-9x+3$$

Combine -2x and -9x to get -11x.

$$2x^{5}-15x^{3}-2x^{2}-11x-7x^{4}-4+3$$

Add -4 and 3 to get -1.

$$2x^{5}-15x^{3}-2x^{2}-11x-7x^{4}-1$$

Differentiate w.r.t. x

$$10x^{4}-28x^{3}-45x^{2}-4x-11$$