Solving Optimization Problems
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the derivative of
f
(
x
)
=
sin
(
x
)
f(x) = \text{sin}(x)
f
(
x
)
=
sin
(
x
)
?
QUESTION
Calculate the derivative:
f
(
x
)
=
tan
(
x
)
f(x) = \text{tan}(x)
f
(
x
)
=
tan
(
x
)
.
QUESTION
Calculate the derivative:
f
(
x
)
=
5
x
4
f(x) = 5x^4
f
(
x
)
=
5
x
4
.
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ANSWER
f
′
(
x
)
=
20
x
3
f'(x) = 20x^3
f
′
(
x
)
=
20
x
3
. Power rule:
4
×
5
x
4
−
1
=
20
x
3
4 \times 5x^{4-1} = 20x^3
4
×
5
x
4
−
1
=
20
x
3
.
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