Homework Help: Calculus. I need help!

Posted by danny on Saturday, February 25, 2012 at 2:21am.

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.

Calculus. I need help! - Reiny, Saturday, February 25, 2012 at 9:25am
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)

Answer this Question

Related Questions

math - (a) In order to express the function y = 1010 x + 4, as a composition of ...
Calculus - I finished this problem but I wanted some feedback because I don'...
calculus - Suppose that f(x)= square root of x and g(x)= 3x-4 and you are asked ...
art - The statement "form follows function" means function over form, ...
algebra 2! - Given f(X)=the square root of x-2 and g(x_=6/x-3 (+1), write the ...
Pre-Calculus - How do I write the quadratic function f(x) = 1/2 (6x^2 - 24x + 22...
Math - Domain of Composite function - Find the domain of the composite function ...
Domain of composite function - Can you please help me with the following ...
math - how to you find a composite function form of y in this problem? y = 1/[(x...
Pre Cal - a function f is defined as f(x)= square root of (x+4). a) identify the...

For Further Reading

First Name:
School Subject:
Answer: