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Question
Find the derivative of f(x) = ax + b, where a and b are non-zero constants, by first principle
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Solution
By definition,
f'(x) = `lim_(b -> 0) (f(x + h) - f(x))/h`
= `lim_(h -> 0) (a(x + h) + b - (ax + b))/h`
= `lim_(h -> 0) (bh)/h`
= b
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