Ch. 8 Sec1,7 Goofy Stuff

Question 0

What happens if you get Infiniti times zero

Answer 0

You have to manipulate the limit to make it zero over zero or Infiniti over Infiniti

Question 1

What should you always do first when it comes to L’Hopital’s Rule

Answer 1

Direct substitution to show it is zero over zero or Infiniti over Infiniti

Question 2

Lim as x approaches zero of sinx over x

Answer 2

1

Question 3

Limit as x approaches zero of 1 minus cosx over x

Answer 3

0

Question 4

What are the old ways to solve an integral of a limit

Answer 4

Expand the numerator
Separate the numerator
Complete the square
Divide improper rational function
Add and subtract terms in numerator
Use trig identities
MULTIPLY AND DIVIDE BY PYTHAGOREAN CONJUGATE

Question 5

What is the symmetric difference quotient

Answer 5

Difference between y values on both sides of desired y value
Over
Difference between x values on both sides of the given x value

Question 6

When should you use symmetric difference quotient

Answer 6

When you are asked to estimate a value of f’(given x value) when given the c and y coordinates of f(x)
Same would apply if asked to find f’‘(x) and given f’(x)

Question 7

What is the average rate of change

Answer 7

Slope of secant line

Question 8

If asked to estimate f’(4) and then later asked at what rate is y changing with respect to x at the point where x=4…..

Answer 8

Same question-> same answer

Would draw a tangent line to that point and then find the slope using estimated point values