Calculus Finals Review: Seeking Tutoring/Help

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The discussion centers on a user seeking help for their upcoming Calculus finals, specifically requesting assistance with problems from a review sheet. Key topics include finding derivatives, applying the product and quotient rules, and solving continuity issues in piecewise functions. Participants provide hints and corrections, emphasizing the importance of careful application of formulas and checking work for errors. The user expresses confidence in achieving a good grade despite initial confusion, indicating a proactive approach to mastering the material. Overall, the thread highlights collaborative learning and problem-solving in preparation for a final exam.
  • #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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