Derivative of Trig FUnctions

User Generated

zbovyrcebzbtheh

Mathematics

Description

what is the derivative of f(x)= sin(cos(x))

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Explanation & Answer

Use the chain rule dy/dx = dy/du du/dx

Let u=cosx --> du/dx = -sinx

dy/dx = d[sin(u)]/dx
dy/dx = du/dx cos(u)
dy/dx = -sinx cos(u)
dy/dx = -sinx cos(cosx)


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Anonymous
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