Ap Calculus Jeopardy Template

Limits	Rules and Theorems	Increasing/Decreasing or Overestimate/Underestamate	Derivatives	Integrals
100 When does the limx→a f(x) exist? limx→a- f(x)=limx→a+ f(x)=L	100 What is the extreme value theorem? f(x) is continuous	100 It is increasing If f'(x)>0, then f(x) is ____	100 -1/√(1-x^2) The derivative of inverse cosine is	100 ∫cos(x) dx sin(x)+C
200 When does the limx→a (f(x)+g(x))? limx→a f(x) + limx→a g(x)	200 What is chain rule? (f(g(x)))' f'(g(x)) x g'(x)	200 It is decreasing If f'(x)<0, then f(x) is ____	200 1/(1+x^2) The derivative of inverse tangent is	200 ∫sin(x) dx -cos(x)+C
300 When does the limx→a (f(x)-g(x))? limx→a f(x) - limx→a g(x)	300 What is product rule? (f(x)g(x))' f'(x)g(x)+f(x)g'(x)	300 It is an overestimate If the function is increasing, then the right sum is an ____	300 -1/ (lxl √(x^2 - 1)) The derivative of inverse cosecant is	300 ∫e^x dx e^2 + C
400 When does the limx→a ((f(x))/(g(x)))? ((limx→a f(x)) / (limx→a g(x))) if limx→a g(x)≠0	400 What is quotient rule? (f(x)/g(x))'= (f'(x)g(x)-f(x)g'(x)) / (g(x))^2	400 It is an underestimate If the function is increasing, than the left sum is an ____	400 1/ (lxl √(x^2 - 1)) The derivative of inverse secant is	400 ∫m dx mx+C
500 When does the limx→a (f(x)xg(x)) limx→a f(x) x limx→a g(x)	500 What is the intermediate value theorem? -f(x) is continuous on [a.b] -a -f(a)	500 It is an underestimate If the function is decreasing, then the right sum is an ____	500 -1/(1+x^2) The derivative of inverse cotangent is	500 ∫x^n dx ((x^(n+1)) / (n+1)) +C

Ap Calculus

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