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Mathematics
Mathematics
Problem
Which of the following represents the equation of the tangent line to the curve
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at the point
(
a
,
f
(
a
)
)
(a, f(a))
(
a
,
f
(
a
))
? a)
y
−
f
(
a
)
=
f
(
a
)
(
x
−
a
)
y-f(a)=f(a)\bigl(x-a\bigr)
y
−
f
(
a
)
=
f
(
a
)
(
x
−
a
)
b)
y
−
f
(
a
)
=
f
′
(
a
)
(
x
−
a
)
y-f(a)=f'(a)\bigl(x-a\bigr)
y
−
f
(
a
)
=
f
′
(
a
)
(
x
−
a
)
c)
y
=
f
′
(
a
)
(
x
−
a
)
y=f'(a)\bigl(x-a\bigr)
y
=
f
′
(
a
)
(
x
−
a
)
d)
y
−
f
(
a
)
=
f
′
(
x
)
(
x
−
a
)
y-f(a)=f'(x)\bigl(x-a\bigr)
y
−
f
(
a
)
=
f
′
(
x
)
(
x
−
a
)
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