The rate of change of the function f(x) = 2sin x is given by sin1/2 x cos x. Show that

Chapter 6, Problem 25

(choose chapter or problem)

The rate of change of the function \(f(x)=2 \sqrt{\sin x}\) is given by \(\sin ^{-1 / 2} x \cos x\). Show that the rate of change can also be written as \(\cot x \sqrt{\sin x}\).

Text Transcription:

f(x) = 2 sqrt sin x

sin^−1/2 x cos x

cot x sqrt sin x

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