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Differentiate the following functions.
(a) f (t ) = 4 cos-1 (t ) -10 tan -1 (t )
(b) y = √z sin -1 ( z )
Solution
(a) Not much to carry out with this one other than differentiates each term.
(b) Before using the product rule don't forget to convert the radical to fractional exponents
Alternate Notation : There is some alternate notation i.e. used on occasion to denote the inverse trig functions. This notation is following,
sin -1 x = arcsin x cos-1 x = arccos x
tan -1 x = arctan x sec-1 x = arcsec x
cot -1 x =arccot x csc-1 x = arccsc x
Measures of Dispersion - The measures of dispersion are extremely useful in statistical work since they indicate whether the rest of the data are scattered away from the mean
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