Diffrentiation, Mathematics

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].

Posted Date: 3/9/2013 5:29:38 AM | Location : United States







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
Let's recall how do to do this with a rapid number example.                                                     5/6 - 3/4 In this case we required a common denominator & reme

Model of 180 meter tall building using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be?

Introduction: "Mathematical literacy is an individual's capacity to identify and understand the role that mathematics plays in the world, to make well-founded judgments, and t

Use the graph of y = x2 - 6x  to answer the following: a)         Without solving the equation (or factoring), determine the solutions to the equation  x 2 - 6x = 0  usi

Which of the subsequent decimals is the greatest number? If you add zeros to the end of every of the numbers so that each number has 5 places after the decimal point, it is sim

3 years to 104 weeks,express answer in ratio

The production costs per week for generating x widgets is given by, C ( x ) = 500 + 350 x - 0.09 x 2 ,         0 ≤ x ≤ 1000 Answer following questions.  (a) What is the c

Hi I have a maths question related to construction as its a construction management course...i could send some example sheets too...could it be done?

mention the characteristic of mathematic

Describe the Properties of Inequalities ? Postulate In comparing two quantities, say a and b, there are exactly three possibilities. (1) a is less than b. (a b)