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Question

Graph the function $f (x) = 6 - 6 x^{\frac{2}{3}} + x^{\frac{8}{3}}$ . The first and second derivative are given.

$f^{'} (x) = - \frac{4}{x^{\frac{1}{3}}} + \frac{8}{3} x^{\frac{5}{3}}$

$f^{''} (x) = \frac{4}{3 x^{\frac{4}{3}}} + \frac{40}{9} x^{\frac{2}{3}}$

Accepted Answer

Graph of the function f(x)=6−6x²/³+x⁸/³, showing a red curve with a minimum point at (0, 4).

Answer

Graph of the function f(x)=6−6x²/³+x⁸/³, showing a red curve on a grid with x and y axes.

Answer

Graph of the function f(x)=6−6x²/³+x⁸/³, showing a red curve with a minimum point at y=4.

Answer

Graph of the function f(x) = 6 - 6x^(2/3) + x^(8/3) showing a red curve with a peak at y=4.