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

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0cos(x) * e^(sin(x)) = 0 when x = pi/2 and 3pi/2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0e^(sin[x])*cos[x]=0 and solve for x it is zero when cos[x] is zero namely; at pi/2, 3pi/2 in [0,2pi]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How'd you guys get cos(x)??

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0its the chain rule of derivatives

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Du e^u; u = sin(x) cos(x) e^(sin(x))
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