Calculus · AP
AP Calculus Formulas
AP Calculus AB/BC derivative, integral, and series formulas as cloze cards.
39 cards · cloze cards · AI-written, checked twice. Edit anything.
- The power rule for derivatives states: d/dx(x^n) = ____
- n·x^(n-1)
- The product rule states: d/dx(u·v) = ____
- u'·v + u·v'
- The quotient rule states: d/dx(u/v) = ____
- (u'·v - u·v')/v²
- The chain rule states: d/dx[f(g(x))] = ____
- f'(g(x))·g'(x)
- d/dx(sin x) = ____
- cos x
- d/dx(cos x) = ____
- -sin x
- d/dx(tan x) = ____
- sec²x
- d/dx(cot x) = ____
- -csc²x
- d/dx(sec x) = ____
- sec x·tan x
- d/dx(csc x) = ____
- -csc x·cot x
- d/dx(e^x) = ____
- e^x
- d/dx(ln x) = ____
- 1/x
- d/dx(a^x) = ____
- a^x·ln a
- d/dx(arcsin x) = ____
- 1/sqrt(1-x²)
- d/dx(arctan x) = ____
- 1/(1+x²)
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