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Higher Order Derivatives and Parametric Differentiation Solve the following problem and simplify your answer. Show your solutions completely. Box your final answer. Note: Hello can

Higher Order Derivatives and Parametric Differentiation

Solve the following problem and simplify your answer. Show your solutions completely. Box your final answer.

Note: Hello can you please solve this number 3 question. Thank you so much!

image text in transcribedimage text in transcribedimage text in transcribed
Higher Order Derivatives Let y = f (), then the higher order differentiation of this function is given by First Derivative: dy d dx dx (y) = - f (x) = f'(x) = y' Second Derivative: 12 y d = dx-2 = f" (x) =y" dx dx Third Derivative: d3 y d day = f" (x) =y"" dx 3 dx dx2 Fourth Derivative: d dx4 dx3 By ) = = (x ) = 4) dx nth Derivative: any dans n = 1, 2, 3, 4, 5 ...

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