If d/dx [G(x)] = f(x), what is the value of d/dx [ ∫[a to x] f(t) dt ]?
If d/dx [G(x)] = f(x), what is the value of d/dx [ ∫[a to x] f(t) dt ]?
- A. f(x)
- B. G(x)
- C. f(a)
- D. f(x) − f(a)
Answer: A) f(x)
Explanation: By the First Fundamental Theorem of Calculus, d/dx ∫[a to x] f(t) dt = f(x).
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