10-09-2017
Mathematics

contestada

How to find dy/dx of the function y=x^(1/x) using logs and implicit differentiation?

Respuesta :

Аноним Аноним

10-09-2017

y = x ^(1/x)
Taking logs:-

ln y = ln x^(1/x)
ln y = 1/x ln x

differentiating:-

dy/dx * 1/y = = 1/x * 1/x + lnx * - 1/x^2

dy/dx = (1/x^2 - lnx / x^2 ) * y

= [x ^(1/x) ( 1 - ln x) ]/ x^2 answer

Answer Link

Otras preguntas

what is the multiplicative inverse of 6 1/8??

Nita wants to buy a new keyboard for her computer. She will buy the keyboard when it is on sale for under $50 Write an inequality that describes k, the price in

7. A line in the Cartesian plane passes through the points (1, 3) and (5, 4). What is the slope of the line? A. 1/4 B. –4/1 C. 4/1 D. –1/4

8/2 - 7/12 What is the answer

Please need help thank you!

the price p of a clubs membership is $30 foran enrollment fee and $12 per week w tobe a member .Write a function

Jay has $8 l. He wants to buy a book for $ 7.50 the sales tax is 6% Does he have enough money? EXPLAIN YOUR REASONING

What does to become less in amount or intensity means

Please need help thank you!

How many atoms are in 1.45 mol of pure aluminum