MATH 275 Lecture Notes - Lecture 12: Viscosity, Farad, Approximation Error
8 Oct 2016
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Tricks for deriving relations (means same thing as functions), deriving higher order relations, applications for derivatives, implicit differentiation. Normally you would derive this relation in maybe 6-8 lines but now you can do it in one line. Cot = -csc2, sin=cos, then tan and the argument (angle. Let y=f(x) be differentiable function, that is f"(x) exists. From now on we may call f"(x) first order derivative of f. Second order derivative of f is derivative of the first order and is denoted by f""(x);reads as f double prime. Higher order derivatives(higher than second) are defined similarly. For instance the nth order derivative (n=1,2,3 ) is the derivative of f taken n times in success and may be denoted by the following. Note: do not use prime notation beyond 3rd order. Example: y""""" is not correct, should be (d) = = 3@ + 152 7. Likewise >>> = 24 18, = = 24, d = q = 0.
