Moleporocky247
Moleporocky247 Moleporocky247
  • 02-06-2016
  • Mathematics
contestada

Determine the derivative of the following and leave the answer with positive exponents
Ay/ax if y=5x+√x to the exponent 5/2x²

Respuesta :

caylus
caylus caylus
  • 02-06-2016
Hello,

It was a long time i have done this.

y=(5x+√x) ^(2.5 x²)

ln y= 2.5x² ln (5x+√x)

We use:
d (ln y)/dx=1/y* dy/dx

y'/y= 5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))

y'=(5x+√x) ^(2.5 x²)*[5x*ln(5x+√x)+2.5x²*1/(5x+√x) *(5+1/(2√x))]





Answer Link

Otras preguntas

Chris, a manager, knows that one of his employees values achievement and power. Chris should assign the employee to a job that includes:
How did introducing the Bessemer process to Carnegie’s plants help him develop his monopoly?
Which of the following rocks would you most likely find in a cave? conglomerate foliated metamorphic rock chemical sedimentary rock intrusive igneous rock
What is the next number? 2 3 5 7 11 13 17 A.18 B.19 C.20 D.21
Where are the asymptotes of f(x) = tan 2x from x = 0 to x = π?
he famous historian is she. Which kind of pronoun case is the bold word? (the bold word is "she"
Did Italy come to americas defense after Pearl Harbor
The process of getting information out of memory storage is called:
You set up an IRA with an APR of 2.5% at age 35. At the end of each month, you deposit $102 in the account. How much will the IRA contain when you retire at the
15 points for correct answer please