Faith D.
asked • 01/22/13Composition question
If f(0)=1, f'(0)=2, g(0)=3, g'(0)=4 what is (f^2•g)'(0)
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2 Answers By Expert Tutors
Matt L. answered • 01/23/13
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George C. answered • 01/22/13
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Humboldt State and Georgetown graduate
(uv)' = uv' +vu', and remember Mr. Chain.
(f^2•g)'(0) = 2f(f')g + f^2(g'), all evaluated at 0.
2 f(0)(f'(0))(g(0)) + (f(0))^2(g'(0)) =
2(1)(2)(3) + 1^2(4) = 12 + 4 = 16
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Alexander B.
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01/22/13