Answer:
f'(x) = 1/10
Step-by-step explanation:
You want the derivative of the function f(x) = 1/10x -1/4.
Derivative
The derivative is the limit ...
[tex]\displaystyle f'(x)=\lim_{h\to0}{\dfrac{f(x+h)-f(x)}{h}}\\\\\\f'(x)=\lim_{h\to0}{\dfrac{\left(\dfrac{1}{10}(x+h)-\dfrac{1}{4}\right)-\left(\dfrac{1}{10}(x)-\dfrac{1}{4}\right)}{h}}\\\\\\f'(x)=\lim_{h\to0}{\dfrac{\dfrac{1}{10}h}{h}}\\\\\\\boxed{f'(x)=\dfrac{1}{10}}[/tex]
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