# 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
 $f(x)=2^cosx$ $f'(x) = 2^cosx ln (2) (-sinx)$
 Grade 11 :: Calculus by jthompson85
 $f(x)=(sin(4x^2+2x-1))(cos(7x))$ $f'(x)=sin(4x^2 + 2x - 2)(-sin(7x)(7)) + cos(7x)(cos(4x^2+2x - 1)(8x + 2))$
 Grade 12 :: Calculus by skweckwerth
 College :: Calculus by megomatic
 College :: Calculus by rblaschuk
 Grade 12 :: Calculus by cvenable34
 Determine the points of inflection of the function:$f(x)=x+cosx, [0,2pi]$ (Ï/2, Ï/2), (3Ï/2, 3Ï/2)
 Grade 12 :: Calculus by cvenable34
 Find the point(s) guaranteed by the Mean Value Theorem for the closed interval given:$f(x)=x^(2/3), [1,8]$ f'(2744/729)=3/7
 Grade 12 :: Calculus by cvenable34
 Find the absolute extrema of the function on the closed interval:$g(x)=2x+5cosx, [0,2pi]$ Maximum: (2Ï, 17.57)Minimum: (2.73, 0.88)
 College :: Calculus by kalnovo
 f(x)=abs(x)Find f'(x) f'(x)=abs(x)/xor Graphically, from 0=> infinity, f'(x)=x, and from -infinty to zero, f'(x)=-x, note that f'(o), does not exist.
 Grade 11 :: Calculus by mista
 $3 x + 3int 2 + 1 = 2-1$ 3
 Grade 12 :: Calculus by ap1111
 $int_1^oo x^3 dx$ True
 Grade 12 :: Calculus by ap1111
 $int_1^oo x^2 dx$ True
 College :: Calculus by ew609980
 Identify this identity and rewrite it in expanded notation.$sum_(n=0)^oo (a;q)_n/((q;q)_n) z^n$$= (az;q)_oo/((z;q)_oo)$ q-binomial$sum_(n=0)^oo (prod_(m=1)^n (1-aq^(m-1)))/(prod_(k=1)^n (1-q^k)) =(prod_(j=1)^oo (1-azq^(j-1)))/(prod_(l=1)^oo (1-zq^(l-1)))$
 Grade 12 :: Calculus by cheyne
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