Definition: It measures the at what rate of the the function is changing.
e.g differentiation of 3x gives 3 which is understandable as it increases in line of multiples of 3.
First Principle: It is the difference of the same function in a very short interval and the difference between the intervals (h) tends to zero.
Lim (h ---> 0) f(x + h) - f(x) / h
Formulae: Using the first principle we can derive a whole range of formulas to speeden up the process.
d(x^n)/dx =x^(n -1)
d(sinx)/dx = cosx
d(tanx)/dx = (secx)^2
Note: All the above formulas are final results from first principle.
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