Use the second derivative to determine f"(4) for the functionf (æ) = x² In (x)2ln(4) +23ln(4) +3O In(4) +16ln(4)2ln(4) +3

Answered: Use the second derivative to determine…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write all answers with numbers rounded to two decimal places. In Calculus the derivative of mononomial function is given in the following way. If the function is f (x) = a x" then the derivative is f'(x) = an x(-1). If the function is f(x) = 7x then the derivative is f'(x) an*x^(n-4) If the function is f(x) 5x 2 then the derivative is f'(x) = an*2^(n-1) If the function isf (x) = 3.8x then the derivative is f'(x) = an*x^(n-2) Your last answer was interpreted as follows: an · x"-4 The variables found in your answer were: an, n, x Your last answer was interpreted as follows: an · 2.2n-1
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A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expenditure, a, in thousands of dollars, so C = f(a). (a) What does the company hope is true about the sign of f'? O The company hopes f'(a) is always positive. O The company hopes f'(a) is always negative. The company hopes f'(a) equals zero. The company has no sign preference. O The company hopes f'(a) is sometimes negative and sometimes positive. (b) What does the statement f'(100) = 2 mean in practical terms? O f'(100) means that if the advertising budget is $2,000, the company's revenue is $100. O f'(100) means that if the advertising budget is $100,000 the company's revenue is $2. O f'(100) means that if the advertising budget is $100,000 each extra dollar spent on advertising will bring in about $2 worth of sales. O f'(100) means that the company must sell 2 cars in order to pay for $100,000 worth of advertising. O f'(100) means that if the advertising budget is $2,000, each extra…

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Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3 O In(4) +1 6ln(4) 2ln(4) +3