For the function f(x) = 2 logx, estimate f' (1) using a positive difference quotient. From the graph of f(x), would you expect your estimate to be greater than or less than f' (1)? Round your answer to three decimal places. ƒ' (1) ≈ 0.0826 The estimate should be greater than ƒ' (1).
For the function f(x) = 2 logx, estimate f' (1) using a positive difference quotient. From the graph of f(x), would you expect your estimate to be greater than or less than f' (1)? Round your answer to three decimal places. ƒ' (1) ≈ 0.0826 The estimate should be greater than ƒ' (1).
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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Transcribed Image Text:For the function f(x) = 2 logx, estimate f' (1) using a positive difference quotient. From the graph of f(x), would you expect your
estimate to be greater than or less than f' (1)?
Round your answer to three decimal places.
ƒ' (1) ≈ i 0.0826
The estimate should be
(a) If f is even and f' (16) = 6, what is f'(-16)?
ƒ' (-16) = i
(b) If f is any even function and f' (0) exists, what is f' (0)?
ƒ' (0) = 0
Let f(x) = In (cosx). Use your calculator to approximate the instantaneous rate of change of f at the point x = 1. Do the sa
(Note: Be sure that your calculator is set in radians.)
5л
3
for x =
greater than f' (1).
Round your answers to three decimal places.
ƒ' (1) ≈
f'
5T
3
-1.5574
i sqrt(3)
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