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Product Rule

4.3 Product and Quotient Rules

The Product Rule

  • Assume that there are functions f(x),\ g(x),\ h(x) where h(x)=f(x)\cdot g(x). Hence,

h^{\prime}(x)=f^{\prime}(x)\cdot g(x)+f(x)\cdot g^{\prime}(x)

  • Using Leibniz Notation, it is equivalent by saying

\frac{d y}{d x}=u \frac{d v}{d x}+v \frac{d u}{d x}

where u=g(x), v=f(x), y=uv

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This tutorial covers material encountered in chapter 9 of the VCE Mathematical Methods Textbook, namely: The derivative of functions seen previously in tutorial worksheets 1-5… Read More »Derivatives