It can be shown that the Difference Quotient (D.Q.) of f (x) = sinx is h-[sinx(cos(h) – 1) + cosxsin(h)], if h + 0. Moreover, if h → 0, then the rate of change of sinx is cosx where: h-1(cos(h) – 1) = 0 and h-1sin(h) = 1 as h → 0. Use the above information to find the instantaneous rate of change/velocity of the graph of g(x) = cos? (x) at the point (xo,). xo is a point to be determined algebraically such that -< xo s %3D 12

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. It can be shown that the Difference Quotient (D.Q.) of
f (x) = sinx is h-"[sinx(cos(h) – 1) + cosxsin(h)], if h + 0.
Moreover, if h → 0, then the rate of change of sinx is cosx where:
h-1(cos(h) – 1) = 0 and h-1sin(h) = 1 as h → 0.
Use the above information to find the instantaneous rate of
change/velocity of the graph of g(x) = cos? (x) at the point (xo,). xo
is a point to be determined algebraically such that –;< x, <
2
12
Transcribed Image Text:1. It can be shown that the Difference Quotient (D.Q.) of f (x) = sinx is h-"[sinx(cos(h) – 1) + cosxsin(h)], if h + 0. Moreover, if h → 0, then the rate of change of sinx is cosx where: h-1(cos(h) – 1) = 0 and h-1sin(h) = 1 as h → 0. Use the above information to find the instantaneous rate of change/velocity of the graph of g(x) = cos? (x) at the point (xo,). xo is a point to be determined algebraically such that –;< x, < 2 12
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