In parts (a)(d), F(x)is expressed in terms of f(x) and g(x).Find F(2) given that f(2) =
Chapter 2, Problem 29(choose chapter or problem)
Use a graphing utility to estimate the value of f (1) by zooming in on the graph of f , and then compare your estimate to the exact value obtained by differentiating.
In parts \((a)-(d), F(x)\) is expressed in terms of \(f(x)\) and \(g(x)\).
Find \(F^{\prime}(2)\) given that \(f(2)=-1, f^{\prime}(2)=4, g(2)=1\) , and \(g^{\prime}(2)=-5\).
(a) \(F(x)=5 f(x)+2 g(x)\) (b) \(F(x)=f(x)-3 g(x)\)
(c) \(F(x)=f(x) g(x)\) (d) \(F(x)=f(x) / g(x)\)
Equation Transcription:
Text Transcription:
(a)-(d), F(x)
f(x)
g(x)
F’(2)
f(2)=-1, f’(2)=4, g(2)=1
g’(2)=-5
F(x)=5f(x)+2g(x)
F(x)=f(x)-3g(x)
F(x)=f(x)g(x)
F(x)=f(x)/g(x)
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