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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
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In a parallelogram ABCD AB=20cm and AD=12cm.The bisector of angle A meets DC at E and BC produced at F.Find the length of CF.
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I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems
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Question Solve the following functions for x (where x is a real number). Leave your answers in exact form, that is, do not use a calculator, show all working. (a) 3 x 3 x2 3
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