Differentiation using the Composite Rule
Hi, I'm new to this forum and am abit stuck.
I need to differentiate the function f(x)=10+x(squared) - this function is also a square root but I dont know how to input that here.
What I have so far is y=sq.root u, where u = 10+x(squared)
then dy/du = 1/2 10/sq.rootu and du/dx=2x
I think the composite rule says dy/dx = dy/du du/dx = 1/2 1/sq.root u. 2x = x/sq.root 10+x(squared). Hopefully this makes sense!?
I then have to use the quotient rule together with my answer above to show that the function g(x)= (e to the power of x/7)/sq.root 10 + x(squared) has the derivative
g'(x) = e to the power of x/7(xsquard - 7x + 10) divided by 7(10 + x squared) to the power of 3/2
I will be extremely grateful for any help.