Question

Asked Oct 23, 2019

32 views

Let g(x) =

..

g'(x) =

, where

A =

B =

C =

g''(x) =

, where

D =

E =

F =

G =

x/x^2+75 |

g'(x) =

Ax^{2} + B |

(x^{2} + 75)^{C} |

A =

B =

C =

g''(x) =

Dx(x^{2} + E) |

(x^{2} + F)^{G} |

D =

E =

F =

G =

Find the interval(s) on which the graph of the function is concave upward and those on which it is concave downward. Enter the values for the endpoint(s) in the appropriate blanks and DNE in any empty blanks.

The graph of the function is concave upward on the interval(s):

(−∞, ∞)

(−∞, a)

(−∞, a]

(a, ∞)

[a, ∞)

(−∞, a) ∪ (b, ∞)

(−∞, a] ∪ [b, ∞)

(−∞, a) ∪ (b, c)

(a, b) ∪ (c, ∞)

(a, b)

[a, b]

None of the above.*a* = *b* = *c* =

The graph of the function is concave downward on the interval(s):

(−∞, ∞)

(−∞, d)

(−∞, d]

(d, ∞)

[d, ∞)

(−∞, d) ∪ (f, ∞)

(−∞, d] ∪ [f, ∞)

(−∞, d) ∪ (f, h)

(d, f) ∪ (h, ∞)

(d, f)

[d, f]

None of the above.*d* = *f* = *h* =

Step 1

The given function is

Step 2

Obtain the first derivative as follows:

Step 3

Obtain the second deriva...

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