Chapter 5: What to study?
No Calculator.
Review Problems starting on page 401: #3, 5, 9-11, 17-24, 39, 40, 43, 44, 65-67, 69, 71, 80, 81, 86, 87 & review your take home test.
What is the domain of the function?
Write the expression as a logarithm of a single quantity:
Find the derivative of a log function
Find the derivative of a log function by using log properties first.
Find the derivative of a log function by using log properties first.
Find an equation of the tangent line to the graph of the function a log function at a point
Find the derivative of an exponential function.
(2 to 3 problems) Find the derivative of an exponential function and a polynomial using either product, quotient or chain rule.
Find the derivative of log function that has a base not equal to e.
Find the derivative of an exponential function that has a base not equal to e.
Find the derivative of an inverse trigonometric function.
Locate any relative extrema using the first derivative test of the
(10 problems): Antiderivatives by PATTERN RECOGNITION
Problem
(a) Antiderivative Formula (pink sheet)
(b) Re-write in correct pattern
antiderivative
u  ____________ u   ___________
These six problems are good to review power rule, log rule as well as the three new antiderivatives you learned in Sec5-7

1
4  25 x 2
dx

x
4  25 x 2
dx
x
1
25 x 2  4
dx

x
25 x 2  4
dx
1
 25 x
2
4
dx
 25 x
x
2
4
dx
Find the indefinite integral a rational function by using long division first.
Find the indefinite integral that is a fraction function that requires that you rearrange the integrand first and that involves exponential functions.
Use u-substitution (also called change of variable) to find the indefinite integral