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Higher Derivatives

Higher Derivatives. If f is differentiable to f’ , then f’ may have its own derivative, f’’ , called the second derivative This is the rate of change in f’ – how fast f’ is changing. Example. If , find f’’. More.

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Higher Derivatives

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  1. Higher Derivatives

  2. If f is differentiable to f’, then f’ may have its own derivative, f’’, called the second derivative • This is the rate of change in f’ – how fast f’ is changing

  3. Example If , find f’’

  4. More Derivative of f’’ is f’’’ – Third Derivative Derivative of f’’’ is f’’’’ – Fourth Derivative Etc.

  5. Example Find y’’’’ or y(4)of

  6. Example Find D(27)of y = cos x

  7. Acceleration • Velocity is how fast distance is changing (f’) • Acceleration is how fast velocity is changing (f’’) • A particle’s position is given by the function , find its acceleration at 4.0 sec. Graph the position, velocity, and acceleration functions and explain.

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