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(cosx)/dx= -sinx

d(tanx)/dx = (secx)^2

Note: All the above formulas are final results from first principle.

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differentiation | Definition, Formulas, Examples, & Facts

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