math 260 lab 4 - MATH260Week 4 Lab Name Kong Lee Part I The...

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Precalculus: Mathematics for Calculus
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Chapter 7 / Exercise 69
Precalculus: Mathematics for Calculus
Redlin/Stewart
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MATH260—Week 4 LabName: Kong LeePart I: The Trig Derivatives MOST OF THE PROBLEMS IN THIS SECTION CAN BE SOLVED BY HAND. IF YOU USE WOLFRAM, INSERT SCREEN SHOT. IF YOU USE TI-89, SAY SO.Although the derivative of each trig function can be found by using trig identities and the formulalimh→0f(x+h)−f(x)h, it is far simpler to memorize them because they will be used in many of the techniques that follow in this class as well as in Calculus II. Directions: Look at the examples and answer questions 1–4 below.FunctionDerivativef(x) = sin (2x)f’(x) = 2 cos (2x)f(x) = cos (5x2)f’(x) = -10x sin (5x2)f(x) = tan (x2+ 3x)f’(x) = (2x + 3) sec2(x2+ 3x)f(x) = cot (5x2)f’(x) = -10x csc2(5x2)f(x) = csc (2x)f’(x) = -2csc (2x) cot (2x)f(x) = sec (x2+ 3x) f’(x) = (2x + 3) sec (x2+ 3x) tan (x2+ 3x)1.) What two things do all of the derivatives of the trig functions above have in common?
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Precalculus: Mathematics for Calculus
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Chapter 7 / Exercise 69
Precalculus: Mathematics for Calculus
Redlin/Stewart
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