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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
i want to find the solution for exercises
1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
What is a way to solve indices
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