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PDF CHAPTER 4 APPLICATIONS OF DERIVATIVES

crit pt derivative extremum value x undefined minimumœ\" # 65 y 2x 2 x 1 2x 6 x 1 w œ œ crit pt derivative extremum value x 1 maximum 5 x 1 undefined local min 1 x 3 maximum 5 œ ! œ œ! 67 (a) No since f x x which is undefined at x w # $ ab a bœ# œ#\"Î$ (b) The derivative is defined and nonzero for all x

PDF CHAPTER Applications of Derivatives

Civil Engineering Department Ch 4 Applications of Derivatives 2 We assume that V x and y are differentiable functions of t The constants are the dimensions of the tank We are asked for dy/dt when y = 6 ft and dV/dt = 9 ft3/min The water forms a cone with volume V =

  • What is the difference between integrals and derivatives?

    For numerical computation it is the other way: derivatives are very sensitive, integrals are smooth.) 3.5 Parabolas, Ellipses, and Hyperbolas (page 128) This section is about "second degree equations," with x2 and xy and y2.

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