Diffrentiation, Mathematics

y=f(a^x)   and f(sinx)=lnx find dy/dx?

Solution) dy/dx exist only when 01 as the function y = f(a^x) itself does not exist.

Posted Date: 3/8/2013 8:22:45 AM | Location : United States





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].

Posted by | Posted Date: 3/8/2013 8:23:08 AM


Related Discussions:- Diffrentiation, Assignment Help, Ask Question on Diffrentiation, Get Answer, Expert's Help, Diffrentiation Discussions

Write discussion on Diffrentiation
Your posts are moderated
Related Questions
Solve the form ax 2 - bx - c factoring polynomials ? This tutorial will help you factor quadratics that look something like this: 2x 2 -3x - 14 (Leading coefficient is

is mass marketing completely dead?

1-tan^2 A/1+tan^2 = cos A - sinA/cos A

The question is: If 0.2 x n = 1.4,what is the value of n.

Cartesian product - situations in which the total number of ordered pairs (or triples, or ...) are do be found. (e.g., if Hari makes 'dosas' of 3 different sizes, with 4 different

what is the value of zero to the power raised to zero?

Regression line drawn as y=c+1075x, when x was 2, and y was 239, given that y intercept was 11. Caculate the residual

1.  Draw a pair of tangents to a circle of radius 2cm that are inclined to each other at an angle of 900. 2.  Construct a tangent to a circle of radius 2cm from a point on the c


#questiThe elevation of a telecommunication mast from two points, one due North of the tower and the other South of it are 21.2 degrees and 24.3 degrees respectively, and the two p