Chain Rule
Find the derivative, \( f'(x) \) of the following
functions.
1. \(\displaystyle{f(x)= (2x-5)^4} \)
solution
2. \(\displaystyle{f(x)= (1- x^2)^7} \) solution
3. \(\displaystyle{f(x)= \sqrt{x^2-5x+1}}\)
solution
4. \(\displaystyle{f(x)= \sqrt[3]{x^2-x+2}} \)
solution
5. \(\displaystyle{f(x)= \frac{1}{(3x-1)^4}} \)
solution
6. \(\displaystyle{f(x)=\frac{3}{\sqrt{4x^2+3}}} \)
solution
7. \(\displaystyle{f(x)= (x^2+1)^3(5x+1)^2} \)
solution
8. \(\displaystyle{f(x)=\frac{1-x^2}{\sqrt{2x+7}}} \)
solution
9. \(\displaystyle{f(x)=\left( x - \frac{1}{x}\right)^2} \)
solution