A+ » VCE » Maths Methods U3 & 4 Master Notes » A3 Calculus » Differentiation Rules for Polynomials

Differentiation Rules for Polynomials

3.1 Differentiation Rules for Polynomials

Differentiation Rules for Polynomials

  • The other rules regarding differentiation such as addition, subtraction, multiplication, division of functions, chain rule etc. applies too.
  • All of these rules can be proven via first principles, but it is not required.
  • The only rule for differentiating polynomials:

\text { If } f(x)=x^{n}, \text { then } f^{\prime}(x)=n x^{n-1}

where n \neq 0, n \in R (or n \in R \backslash\{0\})

Note: If n=0, then f(x)=a \text { constant, } f^{\prime}(x)=0

Proof (Not required)

Read More »3.1 Differentiation Rules for Polynomials