Write the composite function in the form f(g(x)). [Identify the inner function u=g(x) and the outer function y=f(u).] Then find the derivative dy/dx.

y=√sinx

√ is square root.

1 answer

g(x) = sinx
f(x) = √x

then f(g(x))
= f(sinx)
= √sinx

if y = fg(x)) = √sinx = (sinx)^(1/2)
dy/dx = (1/2)(sinx)^(-1/2) (cosx
= cosx/(2√sinx)
Similar Questions
  1. Write the composite function in the form f(g(x)).[Identify the inner function u = g(x) and the outer function y = f(u).] (Use
    1. answers icon 2 answers
  2. Hi, im lost in theses three problems. Please help. Thank you so much!!!1. Write the composite function in the form f(g(x)).
    1. answers icon 0 answers
    1. answers icon 3 answers
  3. Write the composite function in the form f(g(x)).[Identify the inner function u = g(x) and the outer function y = f(u).] (Use
    1. answers icon 1 answer
more similar questions