Differentiate outline function in chain rules, Mathematics

Assignment Help:

Differentiate following.

1924_outside function.png

Solution :It requires the product rule & each derivative in the product rule will need a chain rule application as well.

T ′ ( x ) =1/1+(2x)2 (2) (1-3x2)(1/3) +tan-1(2x)(1/3)(1-3x2)(-2/3)(-6x)

= 2(1 - 3x2 )(1/3)  /(1+(2x)2 - 2(1 - 3x2 )-(2/3)  tan -1 ( 2x )

We know that,

d (tan -1 x ) / dx =  (1/(1+x2)

While doing the chain rule with this we remember that we've got to leave the inside function

alone. That means that where we have the x2  in the derivative of tan -1 x we will have to have (inside function )2 .


Related Discussions:- Differentiate outline function in chain rules

What does required to earn on his further science test in 93, Justin earned...

Justin earned scores of 85, 92, and 95 on his science tests. What does he required to earn on his further science test to have an average (arithmetic mean) of 93%? To earn an a

Utilizes second derivative test to classify critical point, Utilizes the se...

Utilizes the second derivative test to classify the critical points of the function,                                               h ( x ) = 3x 5 - 5x 3 + 3 Solution T

Ratio, number of consonants to the number of letters in the English Alphabe...

number of consonants to the number of letters in the English Alphabet express answer in ratio

UNITARY METHOD, A group of 120 men had food for 200 days.After 5 days , 30 ...

A group of 120 men had food for 200 days.After 5 days , 30 men die of disease.How long will the remaining food last

Solution of quadratic equations, Solution of quadratic equations, please pr...

Solution of quadratic equations, please provide me the assignment help for solving the quadratic equations.

Ratio, find the ratio of 1:4

find the ratio of 1:4

Solid mensuration, what is the importance of solid mensuration?

what is the importance of solid mensuration?

Infinite limits, Infinite Limits : In this section we will see limits who...

Infinite Limits : In this section we will see limits whose value is infinity or minus infinity.  The primary thing we have to probably do here is to define just what we mean w

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