Question
Transcribed Text
Calculus with Applications
Questions:
It is very easy to get the rules for derivatives mixed up with the rules for integrals/antiderivatives. Below, I have given you a list of functions.
R
For each function f(x),
you are expected to (a) find f
0
(x), the derivative, and (b), find f(x) dx, the in-tegral/
antiderivative.
1. f(x) = x
5
2. f(x) = 3
2x4
3. f(x) = 1
x
4. f(x) = e
3x
5. f(x) = 1
1−x
6. f(x) = (x
2 + 1)(x
3 − 4)
7. f(x) = 6x
2+9
3x
8. f(x) = 3x(x
2 + 5)4
9. f(x) = 5x
2
e
3x
3+7
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