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Higher Order Derivatives

Higher Order Derivatives. Find if . Substitute back into the equation. Higher Order Derivatives. Examples:. Find the 2 nd derivative of : y =

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Higher Order Derivatives

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  1. Higher Order Derivatives

  2. Find if . Substitute back into the equation. Higher Order Derivatives

  3. Examples: • Find the 2nd derivative of : y = • The 15th derivative of a certain polynomial is a non-zero constant. What can you say about the polynomial? • Find the 2nd derivative of : y = y2 + xy = 4 • Consider the fnc. y = 1/x. Take the first few derivatives and then find a nice way to represent the nth derivative. • Find the first 6 derivatives of y = cos x, then figure out what the 100th derivative of y would be. • Compute the second derivative of y = (ex + e-x)20 . • Compute the second derivative of f(x)=ln(x2+x).

  4. More Examples: • Find the first 3 derivatives of y=5x4-3x3+7x2-9x+2 • Find f ’’’(4) if y = • Find the first 6 derivatives of y = x4 • Find the first 3 derivatives of y = cos(x2 )

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