CK12 Calculus - Single Variable

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Findf(0) andf(x).

Answers

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7. 10


8. Hint: Take the limit from both sides.


9. Hint: Take the limit from both sides.
   10.f(0) = 0,f(x) = 4 + 3x

Techniquesof Differentiation

LearningObjectives
A studentwill be able to:

• Use varioustechniquesof differentiationsto find the derivativesof variousfunctions.


• Computederivativesof higherorders.
  Up to now, we havebeencalculatingderivativesby usingthe definition.In this section,we will developfor-
  mulasand theoremsthat will calculatederivativesin moreefficientand quickways.It is highlyrecommended
  that you becomevery familiarwith all of thesetechniques.
  The Derivativeof a Constant

Iff(x) =cwherec is a constant,thenf(x) = 0.In otherwords,the derivativeor slope

of any constantfunctionis zero.