Things to understand for the final

Question 1

How do you use squeeze theory as a proof?

Answer 1

-x<problem<x, then set each of the x’s= to 0

Question 2

How do you find the slope of a tangent line while using the limit definition?

Answer 2

    h          then with the final equation left input the given x (like 5 or whatever) to find the slope

Question 3

How to find the equation of the tangent line at a certain point.

Answer 3

With the slope found, input it into the m part of the y=mx+b and b =(x,x)

Question 3

How to do proofs?

Answer 3

-x<problem<x, set both x’s to 0

Question 3

Whats the derivative of e^2x?

Answer 3

2e^2x

Question 4

How to use the limit definition and find the derivative at the specified x-value

Answer 4

take the derivative and use knowledge of limits to show work, then input the given x

Question 4

What is the trick for any e^x?

Answer 4

e^x stays the same, but if there is a constant in the exponent it gets moved to before the e^x

Question 5

What are the steps involved with the Mean Value Theorum?

Answer 5

Take the first derivative, find the critical numbers, test numbers, and find the local max/min and where it is increasing and decreasing.

Question 5

What does L’Hopitals Rule want?

Answer 5

set the top and bottom to the respective given x and then take the derivatives.