The Chain Rule for differentiating a function of the form r(u) = g(t)dt where u = f(x) is r'(u) = dx du g(u. dx g(t)dt %3D Calculate the derivative, G'(x). x2 tan 9t dt G'(x) dx tan 9t dt tan 9t dt dx dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The Chain Rule for differentiating a function of the form r(u) :
g(t)dt where u = f(x) is
g(t)dt = g(u) du
dx
r'(u)
%3D
dx
Calculate the derivative, G'(x).
x²
tan 9t dt
G'(x)
dx
:) -
d
tan 9t dt
tan 9t dt
dx
dx
Transcribed Image Text:The Chain Rule for differentiating a function of the form r(u) : g(t)dt where u = f(x) is g(t)dt = g(u) du dx r'(u) %3D dx Calculate the derivative, G'(x). x² tan 9t dt G'(x) dx :) - d tan 9t dt tan 9t dt dx dx
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