Lemma

Calculus · Chapter 4 of 16

Differentiation rules

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← DerivativesApplications of derivatives →
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From open sources

440

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

#TitleDifficulty
133759From the definitions of … and …, find their derivativesEasy
133760Show that both functions satisfyEasy
133761By the quotient rule, verifyEasy
133762Derive …, from the definitionsEasy
133763From the derivative of Problem 5 findEasy
133764The parallel to … is a hyperbolic formula … ______Easy
133765Find the derivatives of the functions 9–18Easy
133766Easy
133767Easy
133768Easy
133769Easy
133770Easy
133771Easy
133772Easy
133773Easy
133774Easy
133776Find the minimum value of … forEasy
133778Do the same ifEasy
133780Find the other five values ifEasy
133782Medium
133784Medium
133786Medium
133788Medium
133790Sketch graphs of the functions in 34–40Medium
133792… (in the limit as …)Medium
133794Medium
133796… forMedium
133798(a) Multiplying … by … givesMedium
133800Turn (4) upside down to prove …, ifMedium
133802Compute … if … by differentiating … and usingMedium
133804The instruction for this exercise is printed above it in the book…Medium
133805The instruction for this exercise is printed above it in the book…Medium
133806The instruction for this exercise is printed above it in the book…Deep
133807The instruction for this exercise is printed above it in the book…Deep
133808The instruction for this exercise is printed above it in the book…Deep
133809The instruction for this exercise is printed above it in the book…Deep
133810Compute … andDeep
133812A cable hanging under its own weight has slope … that satisfies…Deep
133814A solitary water wave has a shape satisfying the … equationDeep
133816Derive … from (5)Deep
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