3.5_Higher_OrderDerivatives_summer

3.5_Higher_OrderDerivatives_summer - )(14t + 5), Find the...

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3.5 Higher Order Derivatives The derivative of f(x) is denoted by f’(x) and will now be called the “first” derivative of f. The derivative of f’(x) is denoted by f”(x) and will now be called the “second” derivative of f. The derivative of f”(x) is denoted by f’’’(x) and will now be called the “third” derivative of f. For the function f(x) = x 5 –x 4 –x 3 + x 2 – x – 1, The first derivative of f at x is: The second derivative of f at x is: The third derivative of f(x) = 3x 4 –5 x 3 is If f(u) = (4 – 3u) (1/2 ), Then f’(u) = (-3/2) (4 – 3u) ( - ½). Find the second derivative of f(u). If f(s) = (s – 6)/(s+6), Find the first derivative of f(s). f’(s) = Find the second derivative of f(s). f”(s) =
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If f(t) = (7t 2 + 5t +2) (19/10 ), then f’(t) = (19/10) (7t 2 + 5t +2) (9/10
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Unformatted text preview: )(14t + 5), Find the second derivative of f at t f(t) = The number of persons aged 18-64 receiving disability benefits Through social Security , the Supplemental Security Income, or both, from 1990 through 2000 is approximated by the function: N(t) = 0.00034t 3 + 0.768t 2 + 0.70t + 5.7, where N(t) is in millions and t is in years with t=0 corresponding to the beginning of 1990. Find: N(8); N(8); N(8) {Round to nearest thousandth} 60.626; 13.053; 1.552 During the construction of an office building, a hammer is accidentally Dropped from a height of 576 ft. The distance the hammer falls in t seconds is given by s = 16 t 2 . What is the hammers velocity when it strikes the ground? (32)(6)= 192 What is its acceleration? 32...
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This note was uploaded on 10/07/2011 for the course MATH 1431 taught by Professor Vaughn during the Spring '08 term at LSU.

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3.5_Higher_OrderDerivatives_summer - )(14t + 5), Find the...

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