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If #f(x) =sin(-x/4) # and #g(x) = sqrt(x^3+3 #, what is #f'(g(x)) #?

1 Answer

Dec 9, 2017

Below

Explanation:

#f(x)=sin(−x/4)#
#g(x)=sqrt(x^3+3)#

#f(g(x))=sin(−sqrt(x^3+3)/4)#

#f^'(g(x))=cos(−sqrt(x^3+3)/4)*-1/4*1/(2sqrt(x^3+3))*3x^2#

#f^'(g(x))=cos(−sqrt(x^3+3)/4)*(-3x^2)/(8sqrt(x^3+3))#

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