Formula to find derivative of a function f(x) by first principle :
This is also called as limit definition of the derivative.
Derivative of ln(sinx) using first principle :
Let f(x) = ln(sinx).
When h ---> 0, cosh ---> 1
From standard results of limits,
Let t = cotxsinh.
When h = 0,
t = cotx[sin(0)]
t = (cotx)(0)
t = 0
Therefore, when h ---> 0, t ---> 0
From standard results of limits,
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