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The Calculus questions below are in the following grade levels:
1 2 3 4
 Grade 12 :: Calculus by jthompson85
 $f(x) = 5sin(x^2+1)$ $f'(x) = 5cos(x^2+1)(2x)$
 College :: Calculus by megomatic
 Grade 11 :: Calculus by jthompson85
 Find the derivative:$f(x) = (4x^2-3x+2)/(2x-1$ $f'(x)=[(2x-1)(8x-3)-(4x^2-3x+2)(2)]/(2x-1)^2$
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 Grade 11 :: Calculus by jthompson85
 $f(x)=(5x^4-2x^2 + 4)^(1/3$ $f'(x)=1/3(5x^4-2x^2+4)^(-2/3)(20x^3-4x)$
 College :: Calculus by Narishm
 What is the derivative of 21? 0 21 7 3
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Initial Value Problems by BacMan
 Solve $y''=12x^2$ where $y'(0) = 15$ and $y(0) = 13$ Itegrate:$y' = int12x^2dx = 4x^3 + c_1$Using the first condition $y'(0) = 15$:$4(0)^3 + c_1 = 15$$c_1 = 15$Therefore, the differential equation is:$y' = 4x^3 + 15$Integrate again:$y = int(4x^3 + 15)dx = x^4 + 15x + c_2$Using the second condition $y(0) = 13$:$0^4 + 15*0 + c_2 = 13$$c_2 = 13$The answer is:$y = x^4 + 15x + 13$
 Grade 12 :: Calculus by jthompson85
 $f(x) = sqrt tan(3x)$ $f'(x) =1/(2(sqrttan(3x)))(sec^2(3x))(3)$
 College :: Calculus by megomatic
 College :: Calculus by as_km
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