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If #f(x)= sin(- x -1) # and #g(x) = 4x^2 -5 #, how do you differentiate #f(g(x)) # using the chain rule?

1 Answer

Mar 23, 2016

#d/dx(f[g(x)])=-8xcos(5-4x^2)#

Explanation:

#f[g(x)]=f(4x^2-5)#

#=sin[-(4x^2-5)]#

#=sin(5-4x^2)#

#therefore d/dx[sin(5-4x^2)]=-8xcos(5-4x^2)#

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