Let f be the function defined by f(x)=e^(x/2)-ln(x^3 +1) for x -1.

a) Approximate the x-coordinate of all the relative maximum and minimum points. Justify your answers.

b) find the intervals on which f is increasing

c) find the intervals on which the graph of f is concave down

Question

Let f be the function defined by f(x)=e^(x/2)-ln(x^3 +1) for x > -1. 

a) Approximate the x-coordinate of all the relative maximum and minimum points. Justify your answers.

b) find the intervals on which f is increasing

c) find the intervals on which the graph of f is concave down

anonymous · Answer

@ maximum or minimum let y'=0. then solve for the x-coordinate

anonymous · Answer

I'm mostly just having problems solving for the x coordinates :/

dumbcow · Answer

well first step is taking the derivative

anonymous · Answer

Yeh (1/2)(e^x/2) - (3x^2)/(x^3+1)

dumbcow · Answer

right...hmm i guess thats why it says approximate :)
you can't isolate x algebraically

anonymous · Answer

Yeah, but I can't figure out what it is still :/ I'm pretty horrid with e and ln

anonymous · Answer

ohohohoho thanks :3 Are there any other ones? Like...I dunno would you try to further isolate the x?

dumbcow · Answer

haha i got the derivative wrong...sorry
ignore everything i posted :(

dumbcow · Answer

http://www.wolframalpha.com/input/?i=e^%28x%2F2%29-+log%28x^3+%2B1%29+