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2. Intro to Derivatives
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2. Intro to Derivatives
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2. Intro to Derivatives / Tangent Lines and Derivatives / Problem 1
Problem 1
Use the following limit definition to determine the slope of the line tangent to the graph of
f
f
at
P
P
, where
f
(
x
)
=
19
x
3
f\left(x\right)=\frac{19}{x^3}
and
P
(
−
1
,
−
19
)
P\left(-1,-19\right)
:
m
tan
=
lim
x
→
a
f
(
x
)
−
f
(
a
)
x
−
a
m_\text{tan}=\displaystyle \lim_{x \to a}{\frac{f(x)-f(a)}{x-a}}
A
−
57
-57
B
−
38
-38
C
19
3
\frac{19}{3}
D
38
38
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