Chain Rule Step 3
Identify Inner and Outer Function Worksheet
To use the Chain Rule, it is needed to identify which function is inner and which is outer first. Practice this skill by solving the following 22 examples.
After continue solving the Chain Rule worksheet
This is third step of Become a Pro in Chain Rule.
Identify which function is inner and which is outer. Check the solutions of this worksheet in Answers afterward:
Example 1
$f(x)=cos(sin(x))$
Example 2
$f(x)=(x-1)^2$
Example 3
$f(x)=e^{5x}$
Example 4
$f(x)=ln(x^3)$
Example 5
$ f(x)=\sqrt{3x+1}$
Example 6
$f(x)=tan(x-8)$
Example 7
$ f(x)=\sqrt{3-x}$
Example 8
$f(x)=2|x-3|$
Example 9
$ f(x)=5(x-2)$
Example 10
$ f(x)=(x+3)^{-1}$
Example 11
$ f(x)=(10x^2-3)^6$
Example 12
$ f(x)=ln(5x-3)^{10}$
Example 13
$ f(x)=e^{sin(x)}$
Example 14
$ f(x)=\frac{1}{(x-2)^3}$
Example 15
$ f(x)=e^{-x^2}$
Example 16
$ f(x)=e^{4x+4}$
Example 17
$ f(x)=cotan(5x^2)$
Example 18
$ f(x)=(sin(x))^{-1}$
Example 19
$ f(x)=(2x-\frac{1}{2})^{-\frac{1}{2}}$
Example 20
$ f(x)=\sqrt{5x^2-2x+4}$
Example 21
$ f(x)=((x^3-2)^2+7)^3$
Example 22
$ f(x)=(ln(x^{-2}+1)^4-5)^7$
Next step is to practice examples on Chain Rule.