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
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
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c82f636-23f4-4891-a7a0-c982862093b8%2F87ab3ed1-793e-455e-b417-7d3c519d02a7%2F8ch5f7_processed.jpeg&w=3840&q=75)
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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