9. [-/0.33 Points] DETAILS SCALCET8 4.3.016. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the equation below. (If an answer does not exist, enter DNE.) f (x) = x In(x) (a) Find the interval on which f is increasing. (Enter your answer using interval notation. ) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. ( x, y) = ( Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)10. [-/0.33 Points] DETAILS SCALCET8 4.3.019. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values of fusing both the First and Second Derivative Tests. f (x) = 7+3x2 - 2x3 local maximum value local minimum value 11. [0.12/0.33 Points] DETAILS PREVIOUS ANSWERS SCALCET8 4.3.022. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Find the critical numbers of the function f(x) = x6(x - 4)5. X = (smallest value) X = X = (largest value) (b) What does the Second Derivative Test tell you about the behavior of fat these critical numbers? At X = , the function has a local minimum (c) What does the First Derivative Test tell you? (Enter your answers from smallest to largest x value.) At X = the function has a local maximum At X = the function has a local minimum At X = , the function has neither a minimum nor a maximum7. [-/0.33 Points] DETAILS SCALCET8 4.3.014. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the equation below. (If an answer does not exist, enter DNE.) f ( x) = 2 cos2(x) - 4 sin(x), OSX S 2 TT (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection points. ( x, y) = ( (smaller x-value) ( x , y ) = (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which fis concave down. (Enter your answer using interval notation.) Need Help? Watch It8. [-/0.33 Points] DETAILS SCALCET8 4.3.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Consider the equation below. (If an answer does not exist, enter DNE.) f ( x) = el* + ex (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. ( x, y) = ( Find the interval on which fis concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.) Need Help? Watch It30. [-/0.43 Points] DETAILS SCALCET8 4.5.513.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find an equation of the slant asymptote. Do not sketch the curve. y = 4x5 - 4x2 + 3 2x2 + x - 2 Need Help? Watch It