If #f(x)= 3x^3-2 # and #g(x) = e^x #, what is #f'(g(x)) #?
1 Answer
Oct 21, 2016
Explanation:
Before differentiating we require to find f(g(x)).
#rArrf(g(x))=f(e^x)=3(e^x)^3-2=3e^(3x)-2# differentiate using the
#color(blue)"chain rule"#
#rArrf'(g(x))=3e^(3x).d/dx(3x)=9e^(3x)#
