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

actever6a

actever6a

Answered question

2021-11-19

If f(x)=cos(2x), then f(π4)=?

Answer & Explanation

Charles Wee

Charles Wee

Beginner2021-11-20Added 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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