Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph with horizontal tangent lines.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the
graph with horizontal tangent lines.
Using the definition of derivative that incorporates the idea of limit, prove that if f and g
are differentiable, then
d
d
d
[f(x)g(x)] = f(x) [g(x)] + g(x);
[g(x)] + g(x) [f(x)]
dx
Transcribed Image Text:Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph with horizontal tangent lines. Using the definition of derivative that incorporates the idea of limit, prove that if f and g are differentiable, then d d d [f(x)g(x)] = f(x) [g(x)] + g(x); [g(x)] + g(x) [f(x)] dx
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