Let g(x) = x2/3(6-x)1/3, (A) Use log differentiation to verify that g '(x) = 4-x/x1/3(6-x)2/3 ...

Question

Let g(x) = x^2/3(6-x)^1/3

(A) Use log differentiation to verify that g '(x) = 4-x/x^1/3(6-x)^2/3

(C) Find critical points of g(x).

(D) Draw the sign graph of g '(x).

(E) Find the intervals of increase or decrease of g(x).

(F) Identify the local extreme values of g(x).

(G) Use log differentiation to verify that g ''(x) = -8/x^4/3(6-x)^5/3

(H) Draw the sign graph of g ''(x).

(I) Find the intervals of concave up/concave down of g(x).

(J) Find the inflection points of g(x).

Answer 1

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