anonymous
  • anonymous
If f(x)=e^sinx, how many zeros does f'(x) have on the closed interval [0,2╥]?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
cos(x) * e^(sin(x)) = 0 when x = pi/2 and 3pi/2
anonymous
  • anonymous
e^(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
  • anonymous
How'd you guys get cos(x)??

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amistre64
  • amistre64
its the chain rule of derivatives
amistre64
  • amistre64
Du e^u; u = sin(x) cos(x) e^(sin(x))
anonymous
  • anonymous
got it! Thanks :)

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