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Example 26
Find [cos (log x)]
Solution : Let y = cos (log x)
Differentiating w.r.to x we get,
= - sin (log x ) (log x)
= - sin (log x)
=
Example 27
Find [log (sec x + tan x)]
Solution : Let y = log (sec x + tan x)
Index
4. 1 Derivability At A Point 4. 2 Derivability In An Interval 4. 3 Derivability And Continuity Of A Function At A Point 4. 4 Some Counter Examples 4. 5 Interpretation Of Derivatives 4. 6 Theorems On Derivatives (differentiation Rules) 4. 7 Derivatives Of Standard Functions 4. 8 Derivative Of A Composite Function 4. 9 Differentiation Of Implicit Functions 4.10 Derivative Of An Inverse Function 4.11 Derivatives Of Inverse Trigonometric Functions 4.12 Derivatives Of Exponential & Logarithmic Functions 4.13 Logarithmic Differentiation 4.14 Derivatives Of Functions In Parametric Form 4.15 Higher order Derivatives
Chapter 5
[cos (log x)] 
= -
sin (log x )
(log x)
[log (sec x + tan x)] 
