hushKittnyasanca hushKittnyasanca

15-06-2016
Mathematics

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If f(x)=e^sinx, how many zeros does f'(x) have on the closed interval [0,2╥]?

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HomertheGenius HomertheGenius

20-06-2016

[tex]f(x)=e^{sinx} [/tex]
f´(x)=[tex]e^{sinx} *cos x[/tex]
f´(x)= 0 for cos x =0
f´(x) have two zeroes on the closed interval [ 0,2π].
x=π/2 and x=3π/2

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