Posted by Robin on Tuesday, June 18, 2013 at 2:41pm.
Find the outside and inside functions of the following to find their derivatives:
1) sqrt(2x+9)
2) cos(cos(x))
3) tan(x)
I already know how to find their derivatives I'm just not exactly sure what parts of the chain rule equation would be considered the outside and inside.

Calculus  Steve, Tuesday, June 18, 2013 at 3:32pm
The chain rule says that if we have u(x) and f(u(x)),
df/dx = df/du * du/dx
f is the outside function, u is the inside.
So, in the first case
f(u) = √u
u(x) = 2x+9
#2.
f(u) = cos(u)
u(x) = cos(x)
#3. Is almost a trick question.
f(u) = tan(u)
u(x) = x
Answer This Question
Related Questions
 Calculus  Just got through with derivatives, power rule, and chain rule. I am ...
 Maths Calculus Derivatives  Find the first derivative for the following ...
 calculusderivatives  y=cos^3(12theta) find derivative using chain rule
 Math, derivatives  Let g(x) = sin (cos x^3) Find g ' (x): The choices are a) ...
 calculus  find the following derivatives: f(x) = (2x+5)/(x^23) f'(x)= (2)*(x^2...
 Calculus  Okay so I have a question on my assignment that says: You are given ...
 Calculus  We just learned derivatives and now on the Chain Rule. y = r/[(sqrt)(...
 Derivatives  with respect to x f(cos x) if f'(x)= 1/x find (f(cos x))' i got ...
 Trig  Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...
 Calculus  find the derivatives of the given functions. g(t)=sqrt t(1+t)/t^2 the...
More Related Questions