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

Algebra, 2x+2y=10 and 3y+4x=9

2x+2y=10 and 3y+4x=9

Fractions, #question.mario has 3 nickelsin his pocket.wha fraction ofadolla...

#question.mario has 3 nickelsin his pocket.wha fraction ofadolla do 3 nickels represent

Evaluate the integral, Example:   If c ≠ 0 , evaluate the subsequent integr...

Example:   If c ≠ 0 , evaluate the subsequent integral. Solution Remember that you require converting improper integrals to limits as given, Here, do the integ

Determine the price paid for a land, A parcel of land, value $250,000 is so...

A parcel of land, value $250,000 is sold to an investor who signs a contract agreeing to pay a deposit of $25,000 followed by equal quarterly payments for as long as necessary, wit

Differential equations, Verify Liouville''''''''s formula for y "-y" - y'''...

Verify Liouville''''''''s formula for y "-y" - y'''''''' + y = 0 in (0, 1) ?

Marketing question, If a country with a struggling economy is losing the ba...

If a country with a struggling economy is losing the battle of the marketplace, should the affected government adjust its trade barriers to tilt the economic advantage of its domes

LPP, howto know whether a region is bounded or not

howto know whether a region is bounded or not

Undetermined coefficients, In this section we will see the first method whi...

In this section we will see the first method which can be used to find an exact solution to a nonhomogeneous differential equation. y′′ + p (t ) y′ + q (t ) y = g (t) One of

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