Lemma

Calculus · Chapter 5 of 16

Applications of derivatives

6 curated · 181 from open sources · 2.5 million generated

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AllEasyMediumDeep

From open sources

181

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#TitleDifficulty
132948Easy
132949… (faster or slower than Problem 9?)Easy
132952… (this has three roots)Easy
132954Easy
132956Easy
132957(a) Show that … in Example 2 is the same asEasy
132958With … in Example 2, experiment with the Newton iteration … to…Easy
132963For … follow the sequence untilMedium
132967Turn Problem 27 upside down, …, to find the quadratic iteration (10)…Medium
132975Draw a graph of … to show the secant line in Problem…Medium
132977Write a code for the bisection methodMedium
132982The solution to … isDeep
132985Use the Newton and secant programs to solve … from … and…Deep
132986Newton's method for … isDeep
132988Repeat Problem 48 with … changed to … or … orDeep
132989The instruction for this exercise is printed above it in the book…Easy
132990The instruction for this exercise is printed above it in the book…Easy
132991The instruction for this exercise is printed above it in the book…Easy
132992The instruction for this exercise is printed above it in the book…Easy
132993The instruction for this exercise is printed above it in the book…Easy
132994The instruction for this exercise is printed above it in the book…Easy
133013The instruction for this exercise is printed above it in the book…Medium
133014The instruction for this exercise is printed above it in the book…Medium
133724(a) The power … (decreases) (increases) with …, as we compound more…Easy
133731Medium
133740In Problems 23 and 24, start from … and take three steps…Medium
133743Assume 10% interest (so …) in Problems 31–38Medium
133751If you repay …1000…8000$, when are you paid upDeep
133753If a loan shark charges 5% interest a month on the …60…Deep
133755Approximate … as in (15) and (16) to show that you owe…Deep
133757(b) How much do you pay altogetherDeep
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