Calculus 1 Final exam review
(f /g)' = - correct answer-(f'g-fg')/g^2
(f + g)' - correct answer-f' + g'
(fg)' - correct answer-f'g + fg'
area function - correct answer-Let f be a continuous function, for t≥a. The area function for f
with left endpoint a is A(x)=∫(^x∨a)f(t) dt, where x≥a. The area function gives the net area of
the region bounded by the graph of f and the t-axis on the interval [a,x].
b^x - correct answer-b^xlnb
chain rule - correct answer-f'(g(x))g'(x)
cos (x) - correct answer--sin x
cos-1 (x) - correct answer-1/√(1-x^2)
cot (x) - correct answer--csc^2 x
cot theta - correct answer-cos theta/sin theta
cot^-1 (x) - correct answer--1 /1 + x^2
csc theta - correct answer-1/sin theta
d/dx (sin^-1 (x)) - correct answer-1/√(1-x^2)
definite integral - correct answer-aintegralb f(x) dx
definition of a limit - correct answer-A limit is a number that a function approaches as x
approaches a value
dy/dx (x) derivative inverse - correct answer-1 /(dx/dy)(y)
e ln(x) - correct answer-x
e^x - correct answer-e^x
e^x e^y - correct answer-e^(x+y)
e^xy - correct answer-(e^x)^y
(f /g)' = - correct answer-(f'g-fg')/g^2
(f + g)' - correct answer-f' + g'
(fg)' - correct answer-f'g + fg'
area function - correct answer-Let f be a continuous function, for t≥a. The area function for f
with left endpoint a is A(x)=∫(^x∨a)f(t) dt, where x≥a. The area function gives the net area of
the region bounded by the graph of f and the t-axis on the interval [a,x].
b^x - correct answer-b^xlnb
chain rule - correct answer-f'(g(x))g'(x)
cos (x) - correct answer--sin x
cos-1 (x) - correct answer-1/√(1-x^2)
cot (x) - correct answer--csc^2 x
cot theta - correct answer-cos theta/sin theta
cot^-1 (x) - correct answer--1 /1 + x^2
csc theta - correct answer-1/sin theta
d/dx (sin^-1 (x)) - correct answer-1/√(1-x^2)
definite integral - correct answer-aintegralb f(x) dx
definition of a limit - correct answer-A limit is a number that a function approaches as x
approaches a value
dy/dx (x) derivative inverse - correct answer-1 /(dx/dy)(y)
e ln(x) - correct answer-x
e^x - correct answer-e^x
e^x e^y - correct answer-e^(x+y)
e^xy - correct answer-(e^x)^y
