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

Difference

APlusPal Logo 512

4.1 Sums and Differences

Linear Operation Rules

  • There are several rules in differentiation. Let’s start with these:

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)

Read More »4.1 Sums and Differences

1.4 Algebra of Limits (Not Required)

  • Any materials in this notes is not required in the scope of the course, but is included for your understanding.

Algebra of Limits

  • Below are some properties of limits, assuming both \lim _{x \rightarrow a}f(x) and \lim _{x \rightarrow a}g(x) exists:

i) Sum:

\lim _{x \rightarrow a}[f(x)+g(x)]=\lim _{x \rightarrow a} f(x)+\lim _{x \rightarrow a}g(x)

ii) Difference:

\lim _{x \rightarrow a}[f(x)-g(x)]=\lim _{x \rightarrow a} f(x)-\lim _{x \rightarrow a} g(x)

iii) Multiple:

Read More »1.4 Algebra of Limits (Not Required)