Calculus Finals Review: Seeking Tutoring/Help

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SUMMARY

This discussion centers on students seeking tutoring and assistance for their upcoming Calculus finals, specifically focusing on problems from a review sheet. Key topics include the evaluation of piecewise functions, derivatives, and the application of the quotient rule in differentiation. Participants share specific problems, such as finding slopes of normals and solving limits, while providing hints and corrections to each other's approaches. The conversation emphasizes the importance of understanding calculus concepts and applying formulas accurately to achieve high marks.

PREREQUISITES
  • Understanding of piecewise functions and their graphical representation
  • Knowledge of differentiation rules, including the quotient rule and product rule
  • Familiarity with limits and continuity in calculus
  • Ability to solve quadratic equations and find roots
NEXT STEPS
  • Review the application of the quotient rule in calculus problems
  • Practice solving piecewise functions and their derivatives
  • Study the concept of limits and their applications in continuity
  • Explore techniques for solving quadratic equations and finding their roots
USEFUL FOR

Students preparing for calculus exams, tutors assisting with calculus topics, and anyone looking to improve their understanding of differentiation and limits in calculus.

  • #31
f'(4)=\lim_{h\rightarrow 0}\frac{f(4+h)-f(4)}{h}

f'(4)=\lim_{h\rightarrow 0}\frac{\frac{9}{4+h}-\frac{9}{4}}{h}
f'(4)=\lim_{h\rightarrow 0}-\frac{9h}{4h(4+h)}

so f'(4)=-9/16
 
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  • #32
thanks himanshu, but i seem to have got it in school, before i got a chance to see your answer. Even so, the problem was logically incorrect ( f'(4) was suppose to be f'(3)). I should be 85+ for my finals. thanks.
 

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