Write the compostie function in the form f(g(x)). Identify the inner function u=g(x) and the outer function y=f(u).
y=cubed sqrt(1+5x)
g(x),f(u))=(_______)
find the derivative dy/dx.
dy/dx=_____
y = ( 1 + 5x)1/3
The inner function is: u = 1 + 5x
The outer function is: y = ( u ) 1/3
The derivative is: y' = (1/3)( 1 + 5x)-2/3·5 ---> y' = (5/3)( 1 + 5x)-2/3
