User:Kongrui875/Report6

Problem 1: Find fifth-order derivative of y with respect to x
Report problem 6.1 from.

Given: transformation of variables
y(x) is a function of variable x. Transformation of variable x gives new variable t,

Find:$$y_{xxxxx}$$
Find $$y_{xxxxx}$$ in terms of the derivatives of y with respect to t.

Solution

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On our honor, we did this assignment on our own, without looking at the solutions in previous semesters or other online solutions.
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From ($$),

Thus,