Question
Asked Sep 27, 2019
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a. Use the definition mtan = lim I(x) - f(a)
to find the slope of the line tangent to the graph of f at P
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
(Type an integer or a fraction.)
a. mtan
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a. Use the definition mtan = lim I(x) - f(a) to find the slope of the line tangent to the graph of f at P 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 (Type an integer or a fraction.) a. mtan

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Expert Answer

Step 1

(a) to determine the slope of the tangent at the point P to the given curve y=f(x), using the limit definition of the derivative

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y =f(x) х - lim f(x) - f(-4) x-(-4) т. tan x4 5 5 5(x4) 4 lim 4 4 4 4x(x+ 4) - lim lim x-44 -5 m. "tan 16 +

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Step 2

Equation of the tangent at the ...

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5 -5 Equation: y+ (x+4) 4 16 16y 205x-20 or 5x+16y -40

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Math

Calculus