Diffrentiation, Mathematics

Assignment Help:

y=f(a^x)   and f(sinx)=lnx find dy/dx

Solution) dy/dx = (a^x)(lnx)f''(a^x), .........(1)

but f(sinx) = lnx implies f(x) = ln(arcsinx)

hence f''(x) = (1/arcsinx) (1/ ( ( 1-x^2 ) ^ ( !/2 ) ) implies f''(a^x) = (1/arcsin(a^x)) (1/ ((1-a ^ (2x)) ^ (1/2))) ............(2)

hence from ...(1) &.....(2) the solution is obtained but it should br noted that the given solution exist only when x belongs to (0,1].


Related Discussions:- Diffrentiation

Time table, tips to memorize my time table

tips to memorize my time table

FRACTION, HOW TO ADD MIXED FRACTION

HOW TO ADD MIXED FRACTION

I NEED HELP, Teng is designing a house and in each room he can choose from ...

Teng is designing a house and in each room he can choose from tiles, floorboards, or carpet for the floor. a. How many combinations of flooring materials are possible if he designs

Example of normal distribution, The mathematics results of 20 first-year un...

The mathematics results of 20 first-year university students are given, together with their results of their performances in the year 12 semester Test and Final Assignment:

Caselets, how are indian customers visiting shoppers stop any different fro...

how are indian customers visiting shoppers stop any different from customers of developed western countries

Divides a given line segment internally in the ratio of 1:3, Divides a give...

Divides a given line segment internally in the ratio of 1:3 Construction : i )Draw a ray AX making an acute angle with AB. ii) Mark 4 points at equal distance. on AX Let

Analalitic geometry, 1. Write down the canonical equations of the line pass...

1. Write down the canonical equations of the line passing through the point A(2,3, 4) and being parallel to the vector q ={5,0,-1}.

Subsets of real numbers, is it true or false that all whole numbers are rat...

is it true or false that all whole numbers are rational numbers

Calculate the value of the following limits, Calculate the value of the fol...

Calculate the value of the following limits. Solution To remind us what this function such as following the graph. hence, we can see that if we reside to the 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