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If f(x)=8sin^6x - cos^2x. Find f'(\pi /4.

If f(x)=8sin^6x - cos^2x. Find f'(\pi /4.
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If f(x)=8sin^6x - cos^2x. Find f'(
\pi /4.

User Average
by
7.9k points

1 Answer

3 votes
f'(x) = 48(sin(x))^5*cos(x)- 2cos(x)(-sin(x))
= 48(sin(x))^5*cos(x)+ 2cos(x)sin(x)

f'(π/4)= 48(sin(π/4))^5*cos(π/4)+ 2cos(π/4)sin(π/4)=7.

The final answer is 7.

Hope this helps~
User Tobias Leupold
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