is the graph of y=sin(x^6) increasing or decreasing when x=12

Question

25-07-2017
Mathematics

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is the graph of y=sin(x^6) increasing or decreasing when x=12

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mathmate mathmate · Answer 1 · 2017-07-25T13:35:43+02:00

mathmate mathmate

25-07-2017

The rate of change, i.e. slope of
y=sin(x^6)
is
y'=dy/dx=cos(x^6)*(6x^5)

Substitute x=12 (radians)
y'(12)=cos(12^6)*(6*12^5)
=1492992cos(2985984)
=1128592.5 >0

Therefore y(x) is increasing at x=12 (radians).

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