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

H, 6987+746-212*7665

6987+746-212*7665

Mathematical sequences, The number of seats in each row can be modeled by t...

The number of seats in each row can be modeled by the formula C_n = 16 + 4n, when n refers to the nth row, and you need 50 rows of seats. (a) Write the sequence for the numb

Solve cos( 4 ) = -1 trig function, Solve cos( 4 θ ) = -1 . Solution ...

Solve cos( 4 θ ) = -1 . Solution There actually isn't too much to do along with this problem.  However, it is different from all the others done to this point.  All the oth

Which of the partially ordered sets are lattices, Which of the partially or...

Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.   Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting

Fractions, what the answer to 1/4+1/3=3/12=?

what the answer to 1/4+1/3=3/12=?

What is limit x tends to 0 log(1+x)/x to the base a?, Here we will use the...

Here we will use the expansion method Firstly lim x-0 log a (1+x)/x firstly using log property we get: lim x-0 log a (1+x)-logx then we change the base of log i.e lim x-0 {l

Division Remainders, what is the remainder when 75 is divided by 4

what is the remainder when 75 is divided by 4

Pre-calculus, Give all solutions between o degree and 360 degree for sin x=...

Give all solutions between o degree and 360 degree for sin x=3/2

The square of a positive number is 49 what is the number, The square of a p...

The square of a positive number is 49. What is the number? Let x = the number.  The sentence that is , "The square of a positive number is 49," translates to the equation x 2

what fill amount are they searching, Brewery has 12 oz bottle filling mach...

Brewery has 12 oz bottle filling machines.  Amount poured by machine is normal distribution mean 12.39 oz  SD 0.04 oz. Company is interested in in reducing the amount of extra beer

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