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Published byCedric Meriweather Modified over 3 years ago

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Higher Order Derivatives

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Find if. Substitute back into the equation.

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Examples: 1.Find the 2 nd derivative of : y = 2.The 15 th derivative of a certain polynomial is a non-zero constant. What can you say about the polynomial? 3.Find the 2 nd derivative of : y = y 2 + xy = 4 4.Consider the fnc. y = 1/x. Take the first few derivatives and then find a nice way to represent the nth derivative. 5.Find the first 6 derivatives of y = cos x, then figure out what the 100 th derivative of y would be. 6.Compute the second derivative of y = (e x + e -x ) 20. 7.Compute the second derivative of f(x)=ln(x 2 +x).

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More Examples: 1.Find the first 3 derivatives of y=5x 4 -3x 3 +7x 2 -9x+2 2.Find f (4) if y = 3.Find the first 6 derivatives of y = x 4 4.Find the first 3 derivatives of y = cos (x 2 )

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In this section, we will investigate how we can approximate any function with a polynomial.

In this section, we will investigate how we can approximate any function with a polynomial.

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