MEGANMARS7422 MEGANMARS7422
  • 25-12-2020
  • Mathematics
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F(x) = (x⅔ -1)² Find the first and second derivative.

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nadia2318116
nadia2318116 nadia2318116
  • 25-12-2020

Step-by-step explanation:

the first derivative by using

f’(x)=xn = nx^(n−1)

f(g(x)) = f’(g(x))g’(x)

So f’(x)=2(x⅔ -1)*(2/3 x^(-1/3))=[tex]\frac{4*(x^{\frac{2}{3} }-1) }{3*\sqrt[3]{x} }[/tex]

Second derivative by using:

h’(x)=f(x)*g(x)=f(x) g’(x) + f’(x) g(x)

f’’(x)=

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