Problema Solution

write the function in the form y=f(u) and u=g(x) . then find dy/dx as a function of x.

y= (x/2 -2)^-10

Answer provided by our tutors

y = f(u)

u = g(x)

substitute u

y = f(g(x))

dy/dx = f'(g(x))(g'(x))

 

dy/dx = -10(x/2 - 2)(1/2) 

dy/dx = -5(x/2 - 2)