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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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Grade 12 :: Calculus by jthompson85
[math]f(x)=2^cosx[/math]
  • [math]f'(x) = 2^cosx ln (2) (-sinx)[/math]
Grade 11 :: Calculus by jthompson85
[math]f(x)=(sin(4x^2+2x-1))(cos(7x))[/math]
  • [math]f'(x)=sin(4x^2 + 2x - 2)(-sin(7x)(7)) + cos(7x)(cos(4x^2+2x - 1)(8x + 2))[/math]
Grade 12 :: Calculus by cvenable34
Determine the points of inflection of the function:
[math]f(x)=x+cosx, [0,2pi][/math]
  • (π/2, π/2), (3π/2, 3π/2)
College :: Calculus by kalnovo
f(x)=abs(x)

Find f'(x)
  • f'(x)=abs(x)/x

    or 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
[math]3 x + 3int 2 + 1 = 2-1 [/math]
  • 3
Grade 12 :: Calculus by ap1111
[math]int_1^oo x^3 dx[/math]
  • True
Grade 12 :: Calculus by ap1111
[math]int_1^oo x^2 dx[/math]
  • True
College :: Calculus by ew609980
Identify this identity and rewrite it in expanded notation.

[math]sum_(n=0)^oo (a;q)_n/((q;q)_n) z^n[/math][math]= (az;q)_oo/((z;q)_oo)[/math]
  • q-binomial

    [math]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)))[/math]
Grade 12 :: Calculus by cheyne
[math]lim_(x->0) (|x|)/x[/math]
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