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

An aeroplane is flying , An aeroplane is flying at a specific height of 5 k...

An aeroplane is flying at a specific height of 5 km, and at a velocity of 450 km/hr. A camera on the ground is pointed towards the plane, at an angle θ from the horizontal. As the

Help, how long would it take if a submarine if it goes 3 feet per minute to...

how long would it take if a submarine if it goes 3 feet per minute to get to 20000 answer

What was the total cost of the copies, Mary made 34 copies at the local off...

Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0

What do you mean by transient state, What do you mean by transient state an...

What do you mean by transient state and steady-state queueing systems If the characteristics of a queuing system are independent of time or equivalently if the behaviour of the

F distribution or variance ratio distribution, Frequency Distribution or Va...

Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d

Determine the eigenvalues and eigenvectors of the matrix, Determine the eig...

Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require

Mss. Ann, I need marketing management sample assignment as a guide

I need marketing management sample assignment as a guide

Find out the volume of the solid -y = (x -1) ( x - 3)2, Find out the volume...

Find out the volume of the solid obtained by rotating the region bounded by y = (x -1) ( x - 3) 2 and the x-axis about the y-axis. Solution Let's first graph the bounded r

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