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From the definition of the derivatives, we get
Differentiation of the general exponential function ax, a > 0
Let y = ax i.e. f ( x ) = ax Þ f ( x + h ) = ax+h = ax . ah .
From the definition of the derivative, we get
Thus we have,
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