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Briefly explain why the derivative of is the negative of
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Briefly explain why the derivative of
F
(
x
)
=
∫
x
c
g
(
t
)
d
t
F(x)=\displaystyle \int_{x}^{c} g(t)\,dt
F
(
x
)
=
∫
x
c
g
(
t
)
d
t
is the negative of
g
(
x
)
g(x)
g
(
x
)
, assuming
g
g
g
is continuous.
Related theory
Accumulation Concepts
Fundamental theorem of calculus
Integrals
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