Mathematics · Fundamental Theorem of Calculus
If f is a continuous function on [a, b], then by the Fundamental Theorem of Calculus, the derivative g'(x) of the accumulation function g(x) = ddx ∫ax f(t) dt is given by:
- 1ddx ∫ab f(t) dt
- 2ddx ∫ax f(t) dt✓
- 3ddt ∫ax f(t) dt
- 4ddt ∫ab f(x) dx
Correct answer
ddx ∫ax f(t) dt
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