Question

F(x) = (x⅔ -1)² Find the first and second derivative.

Answer 1

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))=$\frac{4*(x^{\frac{2}{3} }-1) }{3*\sqrt[3]{x} }$

Second derivative by using:

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

f’’(x)=