How do you use the chain rule to differentiate g(x)=3tan(4x)g(x)=3tan(4x)?
1 Answer
Aug 13, 2016
Explanation:
To differentiate using the
color(blue)"chain rule"
color(red)(|bar(ul(color(white)(a/a)color(black)(d/dx(g(h(x)))=g'(h(x))h'(x))color(white)(a/a)|)))......(A)
color(blue)"----------------------------------------------------"
g(h(x))=3tan(4x)rArrg'(h(x))=3sec^2(4x) and
h(x)=4xrArrh'(x)=4
color(blue)"-----------------------------------------------------"
substitute these values into (A)
rArrg'(x)=3sec^2(4x).4=12sec^2(4x)
