Find the derivative using the Fundamental Theorem of Calculus, part 1 , which states that if
f(x)
is continuous over an interval
a,b
, and the function
F(x)
is defined by
F(x)=\int_a^x f(t)dt
, then
F^(')(x)=f(x)
over
a,b
.
(d)/(dx)\int_(-9)^x \sqrt(81-y^(2))dy

Question

Find the derivative using the Fundamental Theorem of Calculus, part 1 , which states that if

f(x)

is continuous over an interval

a,b

, and the function

F(x)

is defined by

F(x)=\int_a^x f(t)dt

, then

F^(')(x)=f(x)

over

a,b

.

(d)/(dx)\int_(-9)^x \sqrt(81-y^(2))dy

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