Question 1

$\frac{d}{dx}2x^4+3x^3+4x^2+11x+5$

Accepted Answer

$8x^3+9x^2+8x+11$

Answer

$8x^4+9x^3+8x^2+11x+5$

Answer

$\frac{2}{5}x^5+\frac{3}{4}x^4+\frac{4}{3}x^3+\frac{11}{2}x^2+5x$

Answer

$\frac{2}{5}x^5+\frac{3}{4}x^4+\frac{4}{3}x^3+\frac{11}{2}x^2+5x+C$

Question 2

$\frac{d}{dx}22cos(x)$

Accepted Answer

$-22sin(x)$

Answer

$sin(-22x)$

Answer

$-sin(22x)$

Answer

$22sin(x)$

Question 3

$\sqrt{x}$

Accepted Answer

$\frac{1}{2\sqrt{x}}$

Answer

$\frac{2}{3}\sqrt{x^3}$

Answer

$\sqrt{x}$

Answer

$2\sqrt{x}$

Question 4

$\frac{d}{dx}tanx$

Accepted Answer

$sec^2(x)$

Answer

$sec(x)tan(x)$

Answer

$-sec^2(x)$

Answer

$csc^2(x)$

Question 5

$\frac{d}{dx}cot(x)$

Accepted Answer

$-csc^2(x)$

Answer

$\frac{cos(x)}{sin(x)}$

Answer

$csc^2(x)$

Answer

$\frac{sin(x)}{cos(x)}$

Question 6

$\frac{d}{dx}(4x+8)(2x+9)$

Accepted Answer

$16x+52$

Answer

$\frac{8}{3}x^3+26x^2+72x$

Answer

$8x^2+52x+72$

Answer

$(4)(2x+9)(2)(4x+9)$

Question 7

$\frac{d}{dx}\frac{1}{3}x^4+\frac{2}{3}x^3+\frac{1}{2}x^2$

Accepted Answer

$\frac{4}{3}x^3+2x^2+x$

Answer

$\frac{4}{3}x^5+2x^4+x$

Answer

$\frac{4}{3}x^5+2x^4+x-C$

Answer

$\frac{4}{3}x^3+2x^2+x+C$

Question 8

$\frac{d}{dx}sin(x)$

Accepted Answer

$cos(x)$

Answer

$-cos(x)$

Answer

$cos(x)+C$

Answer

$xcos(x)$

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