Differentiate each of the following functions from the first principal :

We have to find the derivative of with the first principle method, so,

f(x) =


by using the first principle formula, we get,


f ‘(x) =


f ‘(x) =


f ‘(x) =


f ‘(x) =


[By using limx0 = 1]


f ‘(x) =


[Rationalizing]


f ‘(x) =


f ‘(x) =


[sinA cosB – cosA sinB = sin(A–B)]


f ‘(x) =


[By using limx0 = 1]


f ‘(x) =


f ‘(x) =


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