Home » VCE » Maths Methods U3 & 4 Master Notes » ACMMM105

ACMMM105

APlusPal Logo 512

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)

Read More »4.2 Chain Rule