Question 1

what is the derivative of f(x)=$\frac{x^2+x+2}{x^3+2}$

Accepted Answer

f'(x)=$\frac{-x^4-2x^3-6x^2+4x}{(x^3+2)^2}$

Answer

f'(x)=$\frac{-2x^4-x^3-10x^2}{(-x^3-2)^2}$

Answer

f'(x)=$\frac{x^4-2x^3-6x^2+4x}{(x^3+2)^2}$

Answer

f'(x)=$\frac{x^4-2x^3-6x^2+4x}{x^3+2}$

Question 2

what is the second derivative of f(x)=${(6x^2+3)(2x^3+x)}$

Accepted Answer

f''(x)=$240x^3+72x$

Answer

f''(x)=$210x^3+64x$

Answer

f''(x)=$240x^2+172x^3$

Answer

f''(x)=$44x^3+45x$

Question 3

Find the Derivative of the following f(x)=$(3x^2+6x)^3$

Accepted Answer

f'(x)=$72x^2+144x+72$

Answer

f'(x)=$-72x^2+154x-72$

Answer

f'(x)=$62x^2+154x+67$

Answer

f'(x)=$72x^2+162x+72$

Question 4

Find the f'(x) of f(x)=$\frac{5x^3+6x}{2x^2}$

Accepted Answer

f'(x)=$\frac{10x^4-12x^2}{(2x^2)^2}$

Answer

f'(x)=$\frac{20x^4+12x^2}{2x^2}$

Answer

f'(x)=$\frac{10x^4-12x^2}{2x^2}$

Answer

f'(x)=$\frac{-10x^4-12x^2}{(3x^2)^2}$

Question 5

$\int_2^4{6x^3}$

Accepted Answer

$\frac{d}{dx}$=360

Answer

$\frac{d}{dx}$=368

Answer

$\frac{d}{dx}$=-360

Answer

$\frac{d}{dx}$=228

Question 6

$\int_4^6{18x^2}$

Accepted Answer

$\frac{d}{dx}$=1092

Answer

$\frac{d}{dx}$=1082

Answer

$\frac{d}{dx}$=1902

Answer

$\frac{d}{dx}$=1097

Question 7

$\int \left(8x^3+21x^2-12x+3\right)$

Accepted Answer

$\frac{d}{dx}$=$2x^4+7x^3-6x^2+3x+C$

Answer

$\frac{d}{dx}$=$-2x^4-5x^3-55x^2+5x+C$

Question 8

$\int _{-1}^3\:7x^4-8x^2+3$

Accepted Answer

$\frac{d}{dx}$=$\frac{4184}{15}$

Answer

$\frac{d}{dx}$=$\frac{4084}{16}$

Answer

$\frac{d}{dx}$=$\frac{4234}{12}$

Answer

$\frac{d}{dx}$=$\frac{4134}{25}$

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