Calculus 1 Final Exam Review

This calculus 1 final exam review contains plenty of multiple choice and free response problems covering topics such as limits, continuity, derivatives, and integration as well as the application of those topics.

Full 2 Hour 51 Minute Video:

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Print The Exam - 40 Questions:

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Full 2 Hour 51 Minute Video:

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Here is a list of topics:
1. 0:00 - Evaluating Limits By Factoring
2. 2:07 - Derivatives of Rational Functions & Radical Functions
3. 4:59 - Continuity and Piecewise Functions
4. 6:38 - Using The Product Rule - Derivatives of Exponential Functions & Logarithmic Functions
5. 10:27 - Antiderivatives
6. 14:11 - Tangent Line Equation With Implicit Differentiation
7. 21:47 - Limits of Trigonometric Functions
8. 23:25 - Integration Using U-Substitution
9. 25:34 - Related Rates Problem With Water Flowing Into Cylinder
10. 32:02 - Increasing and Decreasing Functions
11. 36:49 - Local Maximum and Minimum Values
12. 40:21 - Average Value of Functions
13. 44:30 - Derivatives Using The Chain Rule
14. 47:31 - Limits of Rational Functions
15. 52:07 - Concavity and Inflection Points

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[dong-wooklee]

Shortcut for derivative of a function of type: f(x) raised to g(x)
Let f(x) be f
Let g(x) be g
Let derivative of f(x) be f'
Let derivative of g(x) be g'
d/dx(f^g)=(f^g)(f'(g/f)+g' log(f))

For those who couldn't understand what's written above, It reads as:
derivative of f raised to power g is equal to f raised to power g times (derivative of f times g by f + derivative of g into log(f))

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[unpromisedNeverland]

51:55 you could also use L' Hospitals rule since plugging 4 into the original equation would give you 0/0.
According to L' Hospitals rule, in a situation like this, you should be able to take the derivative of the top (-1/x^2) and put it over the derivative of the bottom (1) then plug in 4, which would give you -1/16 as well.

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