Consider the function h(x) = (x + 2)^5 - 5x - 3
a)What are the intervals of increase and decrease?
b)What is the local minimum and maximum value?
c)What is the inflection point?
d)What is the interval of the function when concave up and concave down?
I'm super lost. Any help is much appreciated!!
a)What are the intervals of increase and decrease?
b)What is the local minimum and maximum value?
c)What is the inflection point?
d)What is the interval of the function when concave up and concave down?
I'm super lost. Any help is much appreciated!!
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dh / dx = 5 [ x + 2 ]^4 - 5 ...= 0 if and only if x = - 1 and - 3...this breaks the reals into
three parts...at x = - 10 dh/dx > 0 , at x = -2 , dh.dx < 0 and at x = 0 , dh/dx > 0
thus increase , decrease , increase , x = - 3 yields a local max , x = - 1 a local min
d²h / dx² = 20 [ x + 2] ^3 ---> x = -2 is an inflection value...concave down , concave up
three parts...at x = - 10 dh/dx > 0 , at x = -2 , dh.dx < 0 and at x = 0 , dh/dx > 0
thus increase , decrease , increase , x = - 3 yields a local max , x = - 1 a local min
d²h / dx² = 20 [ x + 2] ^3 ---> x = -2 is an inflection value...concave down , concave up