Differentiation of cos cube x?

1 Answer
Rhys
Jun 18, 2018

Shown below...

Explanation:

Use the chain rule:

#d/dx f( g(x) ) = g'(x) * f' (g(x) ) #

In this case #d/dx cos^3 x = d/dx (cosx)^3 #

#=> f(x) = x^3 # and #g(x) = cosx #

Use #d/dx cosx = -sinx #

#=> d/dx cos^3 x = 3 * cos^2 x * (-sinx ) #

# =color(red)( -3sinxcos^2 x #

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