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.