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Calculus Questions - All Grades

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The Calculus questions below are in the following grade levels:
Grades: 11 12 College
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College :: Calculus by megomatic
Find lim_(x->o)(sin(3x))/(2x)
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
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)
Grade 12 :: Calculus by jthompson85
f(x) = sqrt tan(3x)
  • f'(x) =1/(2(sqrttan(3x)))(sec^2(3x))(3)
Grade 12 :: Calculus by jthompson85
f(x) = sec(9x^2)
  • f'(x) = sec(9x^2)tan(9x^2)(18x)
College :: Calculus by Narishm
What is the derivative of 21?
  1. 0
  2. 21
  3. 7
  4. 3
College :: Calculus by megomatic
Let f(x)=log_7(x^2+5) find f'(x)
College :: Calculus by megomatic
Let . Find f(x)=(2x^4+8x)(ex^3-2)
College :: Calculus by megomatic
Find lim_(x->(Pi)/4) (1-cosx)/(x)
College :: Calculus by megomatic
Find lim_(h->0)(e^(5h)-1)/(3h)
College :: Calculus by megomatic
Find lim_(x->oo) (3x^4-8x^2+2)/(7x^4)
Grade 11 :: Calculus by jthompson85
f(x) = e^(5x^2 - 3x + 2)
  • f'(x)=e^(5x^2-3x+2)(10x-3)
College :: Calculus by megomatic
Find lim_(x->0)(sin(2x))/(5x)
Grade 12 :: Calculus by cvenable34
Can the Mean Value Theorem be applied to the function f(x)=1/x^2on the interval [-2, 1]? Explain why or why not.
  • No. There is a nonremovable discontinuity for f(x) in that interval.
College :: Calculus by megomatic
Find dy/dx of sqrt(xy)=x^2+1
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