Differentiate inverse tangent functions, Mathematics

Assignment Help:

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.

94_differentiates.png

 (b) Before using the product rule don't forget to convert the radical to fractional exponents

1071_differentiates1.png

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


Related Discussions:- Differentiate inverse tangent functions

Determine the team having similar code-pigeon hole principle, Shirts number...

Shirts numbered consecutively from 1 to 20 are worn by 20 members of a bowling league. While any three of these members are selected to be a team, the league aims to use the sum of

How to subtract fractions with different denominators, Q. How to Subtract f...

Q. How to Subtract fractions with different denominators? Ans. As with adding fractions, you can't subtract unless the denominators are the same. Here is an example: 9/

Mathematics Warm-Ups for CCSS, Ask question #Minimum 100 words accepted wha...

Ask question #Minimum 100 words accepted what is a ratio

Hcf, the length of three pieces of ropes are 140cm,150cm and 200cm.what is ...

the length of three pieces of ropes are 140cm,150cm and 200cm.what is the greatest possible length to measure the given pieces of a rope?

Polynomials, write the zeros of underroot3power2 -8x+4underroot 3

write the zeros of underroot3power2 -8x+4underroot 3

Equivalence class and equivalence relation, 1. For a function f : Z → Z, le...

1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc

How many cousins does robert have- miscellaneous math, Bonnie has twice as ...

Bonnie has twice as many cousins as Robert. George has 5 cousins, which is 11 less than Bonnie has. How many cousins does Robert have? Work backwards to find the solution. Geor

Geometry homework, i just have one question i need help on for my geometry ...

i just have one question i need help on for my geometry homework

Logarithmic differentiation, Logarithmic Differentiation : There is one...

Logarithmic Differentiation : There is one final topic to discuss in this section. Taking derivatives of some complicated functions can be simplified by using logarithms.  It i

Factoring by grouping, Factoring By Grouping It is a method that isn't ...

Factoring By Grouping It is a method that isn't utilized all that frequently, but while it can be used it can be somewhat useful. Factoring by grouping can be nice, however it

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd