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4.2 Chain Rule

The Chain Rule

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

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

i) If f(x)=c where c is a constant, then f^{\prime}(x)=0 (Constant function)

ii) If f(x)=k \cdot g(x), then f^{\prime}(x)=k \cdot g^{\prime}(x) (Multiple)

iii) If f(x)=g(x)+h(x), then f^{\prime}(x)=g^{\prime}(x)+h^{\prime}(x) (Sum)

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