Now we have f'(a) = g'(x) = C lim f(a+h)-f(a) h h→0 tim ho lim h→0 y = 1 lim x-x6²-h²-2x0hx+x² h30 h lim h-30 F lim hc-h-2%) 430 h g'(x) = g'(o)= - 2x0 g(x₁+h)-g (x₂) h 2 1- (xo+h) ² - [1-x²] h - 2x0 -h 1 2%0 -1 = 。 (x -0)
Now we have f'(a) = g'(x) = C lim f(a+h)-f(a) h h→0 tim ho lim h→0 y = 1 lim x-x6²-h²-2x0hx+x² h30 h lim h-30 F lim hc-h-2%) 430 h g'(x) = g'(o)= - 2x0 g(x₁+h)-g (x₂) h 2 1- (xo+h) ² - [1-x²] h - 2x0 -h 1 2%0 -1 = 。 (x -0)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
![деко
we have to find
tangent plane at
i.e
= 1-x²
Now
хо =
So Eqn is
we have
f'cas
, до
y-y₁ = g'(x₂) (x-7₁)
=
g'(xo) = lim
h→0
lim
ho
the equation of
(0,1)
lim f(a+h)-f(a)
h
h→0
=1
g(x₁+h)-g (x0)
h
1 - (xo+h) ² - [1-xo
b
- 2x0
lim x-x6²-h²-2x0hx+x²
h 30
h
lim hi-h-2%)
4-30
h
lim -h-2%
h-so
2
x²]
g'(x0) = - 2x0
g'(o) = 0
y -1 = 0 (x −0)
y = 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bd53856-3781-4921-9803-0fa9b48c3930%2Fa7fa5488-66f1-4d66-93cb-66d393b0ea66%2F3t3dfav_processed.jpeg&w=3840&q=75)
Transcribed Image Text:деко
we have to find
tangent plane at
i.e
= 1-x²
Now
хо =
So Eqn is
we have
f'cas
, до
y-y₁ = g'(x₂) (x-7₁)
=
g'(xo) = lim
h→0
lim
ho
the equation of
(0,1)
lim f(a+h)-f(a)
h
h→0
=1
g(x₁+h)-g (x0)
h
1 - (xo+h) ² - [1-xo
b
- 2x0
lim x-x6²-h²-2x0hx+x²
h 30
h
lim hi-h-2%)
4-30
h
lim -h-2%
h-so
2
x²]
g'(x0) = - 2x0
g'(o) = 0
y -1 = 0 (x −0)
y = 1
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