Question

can you help me find the critical number for f(x) = xe^pi(times)x

Answer 1

\[f(x)=xe ^{\pi x}\]

Answer 2

should i apply natural log?

Answer 3

jim_thompson5910

Answer 4

@dmezzullo
@jim_thompson5910

Answer 5

I would love to help u but this is to advanced

Answer 6

But since u tagged me Welcome to Openstudy!!!

Answer 7

oh thank you

Answer 8

No problem but Jim will be able to help u he is great with math

Answer 9

oh okay

Answer 10

@hartnn is great also

Answer 11

f(x) = x*e^(pi*x)

f ' (x) = e^(pi*x) + pi*x*e^(pi*x) ... use the product rule here

Answer 12

Now plug in f ' (x) = 0 and solve for x

f ' (x) = e^(pi*x) + pi*x*e^(pi*x)

0 = e^(pi*x) + pi*x*e^(pi*x)

0 = e^(pi*x)(1 + pi*x)

e^(pi*x)(1 + pi*x) = 0

e^(pi*x) = 0 or 1+pi*x = 0

keep going...