4.3 Homework - Derivatives, Shape of a Graph (Homework)

1. [0.67/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.005. MY NOTES ASK YOUR TEACHER The graph of the derivative f' of a function f is shown. y = f'(x) (a) On what intervals is f increasing? (Enter your answer using interval notation.) [0,1), (3,5) On what intervals is f decreasing? (Enter your answer using interval notation.) (1,3), (5,00) X (b) At what values of x does f have a local maximum or local minimum? (Enter your answers as a comma-separated list.) x = 1,3,53. [-/1 Points] DETAILS SCALCET9 4.3.020. MY NOTES ASK YOUR TEACHER Consider the following. (If an answer does not exist, enter DNE.) f(x) = In(2 + sin(x)), ox s 2n Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which fis concave down. (Enter your answer using interval notation.) Find the inflection points of f. smaller x-value ( x, V ) = larger x-value ( x, V ) =4. [-/1 Points] DETAILS SCALCET9 4.3.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the following. (If an answer does not exist, enter DNE.) f( x ) = ex + 6 Find the interval(s) on which fis concave up. (Enter your answer using interval notation.) Find the interval(s) on which fis concave down. (Enter your answer using interval notation.) Find the inflection point of f. ( x, y ) =5. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 4.3.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and local minimum values of fusing both the First and Second Derivative Tests. f(x) = 5+ 9x2 - 6x3 local maximum value 0,5 X local minimum value 1,8 X