- #1
- 1,752
- 143
The book and lecture notes do not give a good example of how to solve this type of problem. After writing out f' I don't know how to simplify. Any hints?
[tex]
\begin{array}{l}
f(x) = x - 5(x - 1)^{2/5} \\
\\
f'(x) = \frac{{f(x + h) - f(x)}}{h} = \frac{{(x + h) - 5((x + h) - 1)^{2/5} - \left( {x - 5(x - 1)^{2/5} } \right)}}{h} \\
\end{array}
[/tex]
[tex]
\begin{array}{l}
f(x) = x - 5(x - 1)^{2/5} \\
\\
f'(x) = \frac{{f(x + h) - f(x)}}{h} = \frac{{(x + h) - 5((x + h) - 1)^{2/5} - \left( {x - 5(x - 1)^{2/5} } \right)}}{h} \\
\end{array}
[/tex]