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g(x)=int_(2)^(x)(1)/(1+t^(3))dt g^(')(2)= Choose 1 answer: (A) (-7)/(18) (B) 0 (C) (1)/(9) () (1)/(3) (E) None of these

g(x)=∫2x11+t3dt g(x)=\int_{2}^{x} \frac{1}{1+t^{3}} d t \newlineg′(2)= g^{\prime}(2)= \newlineChoose 11 answer:\newline(A) −718 \frac{-7}{18} \newline(B) 00\newline(C) 19 \frac{1}{9} \newline(D) 13 \frac{1}{3} \newline(E) None of these

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Evaluate definite integrals using the chain ruleright chevron icon

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Q. g(x)=∫2x11+t3dt g(x)=\int_{2}^{x} \frac{1}{1+t^{3}} d t \newlineg′(2)= g^{\prime}(2)= \newlineChoose 11 answer:\newline(A) −718 \frac{-7}{18} \newline(B) 00\newline(C) 19 \frac{1}{9} \newline(D) 13 \frac{1}{3} \newline(E) None of these
  1. Define g(x)g(x): Define the function g(x)g(x) and find its derivative using the Fundamental Theorem of Calculus.
  2. Find derivative using Fundamental Theorem: Evaluate g′(x)g'(x) at x=2x = 2.

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