1)
by chain rule: . Try by yourself first!
Hi I need help with these questions:
1.Write the composite function in the form f(g(x)). then find the derivative dy/dx. y=sin square root x.
2. Find the first and second derivatives of the function y=4x/ square root (X+1)
3. find dy/dx by implicit differentiation
square root (x+y)=1 +x^2 y^2
So is my answer to the first question correct?
As for number 2. I got y= 2x+1/ 2(x+1)^1/2. Not sure about that :/
As for number 3. I am still lost :/
It's not that I lack confidance, I am trying to get better with practice and it's hard when I get stuck on questions. I really appreciate the help
In implicit differentiation, you treat x and y as functions of x.
So when you differentiate , you need to apply chain rule to and product rule to
I'll show the initial first step, and then I'll let you simplify this.
From here, simplify a little bit, but the important part is to group the terms that contain together. Then we can easily solve for .
Can you take it from here?
--Chris