# Calculus Questions - All Grades

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The Calculus questions below are in the following grade levels:
1 2 3 4
 Grade 12 :: Calculus by jthompson85
 $f(x) = sec(9x^2)$ $f'(x) = sec(9x^2)tan(9x^2)(18x)$
 Grade 11 :: Calculus by jthompson85
 $f(x) = e^(5x^2 - 3x + 2)$ $f'(x)=e^(5x^2-3x+2)(10x-3)$
 Grade 11 :: Calculus by jthompson85
 $f(x)=ln(x^3)$ $f'(x)=1/x^3(3x^2)$
 Grade 12 :: Calculus by ew609980
 $int x^2/(x^3+5) dx$ $1/3 ln(x^3+5)$
 Grade 12 :: Calculus by jthompson85
 $f(x) = ln(3x^2 + 9x + 4)$ $f'(x) = 1/(3x^2+9x+4)(6x+9)$
 Grade 12 :: Calculus by cvenable34
 Find the limit:$lim(5cosx)/x$ as $xrarroo$ 0
 Grade 12 :: Calculus by cvenable34
 Use the First Derivative Test to find any relative extrema of the function:$h(t)=1/4t^4-8t$ Minimum (2, -12)
 Grade 12 :: Calculus by cvenable34
 Can the Mean Value Theorem be applied to the function $f(x)=1/x^2$on 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
 Grade 12 :: Calculus by skweckwerth
 Grade 12 :: Calculus by skweckwerth
 College :: Calculus by megomatic
 Grade 11 :: Calculus by jthompson85
 $f(x)=sin^4(cosx^2)$ $f'(x)=4(sin^3(cosx^2))(cos(cosx^2))(-sinx^2)(2x$
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 Grade 12 :: Calculus by cvenable34
 Find the critical numbers (if any) and the open intervals on which the function is increasing or decreasing:$h(x)=sqrt(x)(x-3), x>0$ Critical number: x=1Increasing (-â, 1), (7/3, â)Decreasing (1, 7/3)
 College :: Calculus by megomatic
 College :: Calculus by megomatic
 College :: Calculus by megomatic
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