5 . Differential Coefficient Using Inverse Trigonometrical Substitutions
Sometimes the given function can be deducted with the help of inverse Trigonometrical substitution and then to find the differential coefficient is very easy .
Logarithmic Differentiation Function
( i ) If a function is the product and quotient of functions such as y = f1 ( x )
f2 ( x ) f3 ( x )… / g1 ( x ) g2 ( x ) g3 ( x )… , we first take algorithm and then differentiate .
( ii ) If a function is in the form of exponent of a function over another function such as [ f ( x )] g ( x ) , we first take logarithm and then differentiate .