Differentiation On first Principal

Example : Using the first principal find the differential coefficient of y = f (x), where f (x) is

(i) ex

(ii) tan x

(iii) sinx/x

(iv) tan−1 x

Solution :

(i) y = f (x) = ex

we have, f ‘ (x) =

(ii) y = f (x) = tan x

We have , f ‘ (x)    =

=    

= sec2x

(iii) y = f (x) = sinx/x

We have , f ‘ (x) =

=    

(iv) y = f (x) = tan−1 x

we have , f ‘ (x) =


=

Next Page » 
<< Back Page

Leave a Reply