# How do you find the derivative of #(sec x)# using the limit definition?

Applying the limit definition of differentiation.

The limit definition of differentiation is determined by applying the property below

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To find the derivative of (\sec(x)) using the limit definition, we first express (\sec(x)) in terms of sine and cosine. Then, we use the definition of the derivative, which is the limit as (h) approaches 0 of (\frac{f(x+h) - f(x)}{h}), where (f(x)) represents the function. Finally, we simplify and evaluate this limit expression.

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