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SS3 Mathematics Second Term: Differentiation of Algebraic Functions

Introduction

An algebraic function is a function that can be written using a finite number of the basic operations of arithmetic (i.e., addition, multiplication, and exponentiation). In order to take the derivative of these functions, we will need the power rule.

The Power Rule: The power rule states that if , then .

Exponential and Logarithmic Functions

Exponential Functions: An exponential function with base is its own derivative. That is to say, if , then as well.

Logarithmic Function: Logarithmic functions with base have derivatives of the following form, if; then…

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