# 1
If g(x) = ∫[a to x] f(t) dt, what is g'(x)?
f(x)
f(a)
f'(x)
0
FTC(2)
Hyesung Kang
Freestyle
High 12
Math
FTC(2)
1
27
1
High 12
Math
FTC(2)
1
27
1
10 questions
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public quiz
# 2
If f(x) = 3x^2, what is the derivative of g(x) = ∫[0 to x] f(t) dt?
3x^2
6x
x^3
9x^2
# 3
If f(x) is a constant function, what is the derivative of g(x) = ∫[a to x] f(t) dt?
f(x)
0
c
f'(x)
# 4
If a function is continuous on the interval [a, b], what does the Mean Value Theorem for Integrals guarantee?
The function has a maximum at x = a.
There exists a number c in [a, b] such that the integral is zero.
There exists a number c in [a, b] such that the area under the curve equals the area of a rectangle with height f(c).
The function is differentiable on (a, b).
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