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f(x)-f(a)a. Use the definition mtan = limto find the slope of the line tangent to the graph of f at Pх -аX aXab. Determine an equation of the tangent line at Pc. Plot the graph of f and the tangent line at P55- 4,f(x)PX5(Type an integer or a fraction.)16a. mtan5b. y16LC

Question
f(x)-f(a)
a. Use the definition mtan = lim
to find the slope of the line tangent to the graph of f at P
х -а
X a
Xa
b. Determine an equation of the tangent line at P
c. Plot the graph of f and the tangent line at P
5
5
- 4,
f(x)
P
X
5
(Type an integer or a fraction.)
16
a. mtan
5
b. y
16
LC
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f(x)-f(a) a. Use the definition mtan = lim to find the slope of the line tangent to the graph of f at P х -а X a Xa b. Determine an equation of the tangent line at P c. Plot the graph of f and the tangent line at P 5 5 - 4, f(x) P X 5 (Type an integer or a fraction.) 16 a. mtan 5 b. y 16 LC

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check_circleAnswer
Step 1
  1. a) Obtain the slope of the line tangent to the graph of f at P,
f(x)-f(a)
tan
х — а
х—а
5
5
-4
х
= lim
х—-
5 5
4
х
=lim
x4 x4
5
=
lim
x44x
5
16
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f(x)-f(a) tan х — а х—а 5 5 -4 х = lim х—- 5 5 4 х =lim x4 x4 5 = lim x44x 5 16

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Step 2

b) Obtain the equation of th...

у -у - т(х - х,)
5
(x+4)
4
16
16y 205(x4
16
-4 x+4
5
16
y = x +8
5
5
5
y =
16
help_outline

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у -у - т(х - х,) 5 (x+4) 4 16 16y 205(x4 16 -4 x+4 5 16 y = x +8 5 5 5 y = 16

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