Calculus 1
Use logarithmic differentiation to find the derivative of the following function
For the following function draw a rough sketch of the graph for the 3 cases
Case 1: a < b, c
Case 2: b < a < c
Case 3: b, c < a
Find and classify the critical points of the following function
Find the critical numbers for the following function
Draw a rough graph of the following function using the critical numbers
Find the inflection points for the following function and determine intervals of concave up and concave down on the graph
Find the inflection points and intervals of concavity for the following function
Use the 2nd Derivative Test to find the inflection points and intervals of concavity for the following function
Find all points of inflection and discuss the concavity over different intervals for the following function
Use the second derivative test to find all relative extrema of the following function
Find the relative extrema for the following function on the given interval
,
Find the absolute extrema of the following function on the given interval
,
Find all relative maximum and minimum values for the following function
An open box is made by cutting and folding a 10x10 inch square of cardboard as shown below. Find the maximum volume the open box can attain by altering the length of cuts, x.
Maximize the product of two numbers, x and y, given that the first number squared added to the second number is equal to 27.
A dudebro has 500 feet of fencing to make a pig pen along a barn as shown below. Find the maximum area.