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What is the value of a and b in f(x) = ae^x + 6*b + x if f'(x) = f''(x)

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regheal1 | Student, Undergraduate | eNoter

Posted July 15, 2013 at 3:17 AM via web

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What is the value of a and b in f(x) = ae^x + 6*b + x if f'(x) = f''(x)

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 15, 2013 at 3:23 AM (Answer #1)

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The function f(x) = a*e^x + 6*b + x where a and b are constants.

f'(x) = a*e^x + 1

f''(x) = a*e^x

If f'(x) = f''(x)

=> a*e^x + 1 = a*e^x

=> 1 = 0

This is not possible for any value of a and b.

For the function f(x) = a*e^x + 6*b + x, the derivative f'(x) and f''(x) cannot be equal for any constant value of a and b.

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