If f (x) = √2 + 5x, find f'(5), using the definition of derivative. f'(5) is the limit as ï → As long as x " y = of the difference quotient this expression simplifies to The value of this limit is f'(5) = Use this to find the equation of the normal line to the function f(x) = √2 + 5x at the point The equation of this normal line can be written in the form

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If f (x) = √2 + 5x, find f'(5), using the definition of derivative.
f'(5) is the limit as x →
As long as x
The value of this limit is ƒ'(5) =
=
"
of the difference quotient
this expression simplifies to
Use this to find the equation of the normal line to the function f(x) = √2 + 5x at the point
(5,
The equation of this normal line can be written in the form
y =
Transcribed Image Text:If f (x) = √2 + 5x, find f'(5), using the definition of derivative. f'(5) is the limit as x → As long as x The value of this limit is ƒ'(5) = = " of the difference quotient this expression simplifies to Use this to find the equation of the normal line to the function f(x) = √2 + 5x at the point (5, The equation of this normal line can be written in the form y =
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