It is a powerpoint presentation that discusses about the lesson or topic of Derivatives and Differentiation Rules. It also encompasses some formulas, definitions and examples regarding the said topic.
7. Example:
By using the quotient rule:
𝑓′
𝑥 =
2𝑥 5𝑥 − 3 − 𝑥2
+ 1 5
(5𝑥 − 3)2
Expand and Group to obtain f’ (x):
𝑓′
𝑥 =
5𝑥2
− 6𝑥 − 5
(5𝑥 − 3)2
8. Continuity and
Differentiability
If y = f(x) is differentiable at a, then f must
also be continuous at a.
Any differentiable function must be
continuous at every point in its domain.