Let f(z) = 3 - log(z² + 15) + 3 - (2 – 2) - e= (a) To differentiate this function it will be necessary to use which of the following rules? Choose all that apply (marks will be removed for incorrect choices). O Chain Rule O Product Rule O Quotient Rule (b) The slope of the curve y = f(z) at z = 0 is (c) The second derivative of f(z) at z = 0 is

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q.6

Let
f(x) = 3 · log(2? + 15) + 3 · (2 – 2) -e-3
(a) To differentiate this function it will be necessary to use which of the following rules? Choose all that apply (marks will be removed for
incorrect choices).
O Chain Rule
O Product Rule
O Quotient Rule
(b) The slope of the curve y = f(x) at æ = 0 is
(c) The second derivative of f(x) at a = 0 is
Transcribed Image Text:Let f(x) = 3 · log(2? + 15) + 3 · (2 – 2) -e-3 (a) To differentiate this function it will be necessary to use which of the following rules? Choose all that apply (marks will be removed for incorrect choices). O Chain Rule O Product Rule O Quotient Rule (b) The slope of the curve y = f(x) at æ = 0 is (c) The second derivative of f(x) at a = 0 is
(d) At æ = 0 the function f(x) is
O(No answer given)
stationary and concave up
stationary and concave down
increasing and concave up
O increasing and concave down
O decreasing and concave up
O decreasing and concave down
Transcribed Image Text:(d) At æ = 0 the function f(x) is O(No answer given) stationary and concave up stationary and concave down increasing and concave up O increasing and concave down O decreasing and concave up O decreasing and concave down
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