For the function f(x) = -x8/9, find f\"(0),f\"(1), and f\"(-1). f\"(x) = . (Simp

Question

For the function f(x) = -x8/9, find f"(0),f"(1), and f"(-1). f"(x) = . (Simplify your answer. Type your answer using exponential notation. Use integers or fractions for any numbers in the expression.) Select the correct choice below and fill in any answer boxes in your choice. f"(0) = (Type an integer or a simplified fraction.) f"(0) is undefined. Select the correct choice below and fill in any answer boxes in your choice. f"(1) = (Type an integer or a simplified fraction.) f"(l) is undefined Select the correct choice below and fill in any answer boxes in your choice. f"(-1)= (Type an integer or a simplified fraction.) f"(-l) is undefined

Explanation / Answer

f(x)= -x^(8/9) f’(x)= -(8/9)x^(-1/9)………….[(x^n)’=nx^(n-1)] f’’(x)=(-8/9)(-1/9)x^(-10/9) =(8/81)x^(-10/9) f’’(0) =(8/81)0^(-10/9)=0 f’’(1) =(8/81)1^(-10/9)=8/81 f’’(-1) =(8/81)(-1)^(-10/9)= -8/81

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