If f(x) = \cos(2x),\ then\ f'''(\pi/4)=?

actever6a 2021-11-19 Answered
If f(x)=cos(2x), then f(π4)=?
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Expert Answer

Charles Wee
Answered 2021-11-20 Author has 14 answers
Step 1
Given function is f(x)=cos(2x).
Step 2
Compute the derivatives.
f(x)=(cos(2x))=2sin(2x)
f(x)=(2sin(2x))=2(2cos(2x))=4cos(2x)
f(x)=(4cos(2x))=4(2sin(2x))=8sin(2x)
Obtain f(π4).
f(π4)=8sin(2(π4))
=8sin(π2)
=8(1)
=8
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