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OpenStudy (anonymous):
f(x)=sin(4x)^5. Find f'(x)
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OpenStudy (saifoo.khan):
\[20 \sin^4(4 x) \cos(4 x)\]
OpenStudy (anonymous):
could you show work please?
OpenStudy (saifoo.khan):
blues is showing..
OpenStudy (anonymous):
thanks
OpenStudy (blues):
Chain rule. f ' (x) = 5cos(4x) * 4x
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OpenStudy (blues):
It should be 5cos(4x) ^ 4 * 4x
OpenStudy (anonymous):
shouldnt the last part just be 4?
OpenStudy (saifoo.khan):
it will be 20. sin(4x)^5 5 sin(4x)^4 * 4cos(4x) 20 sin(4x)^4 * sin(4x)
OpenStudy (anonymous):
ok thanks
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