f(x) = 1/ (cube root of x^2) aka f(x) = 1/x^(2/3) Find f '(x).?

Question

Also, I'm wondering what the symbol ' in f '(x) actually means in regards to mathematics. Thanks.

Answer 1

It just means the derivative. dy/dx.

f(x) = 1/x^(2/3) = x^(-2/3)

So:

f'(x) = -2/3x^(-5/3)

Answer 2

seem. have self assurance on your bible all you elect... yet that would not make it any much less mythology. i'm no longer asserting that throughout the time of an insulting way, purely that that's mythology as that's a set of believes further forth from a chain of counsel that isn't manage to be shown. All religions are mythology. that would not cause them to any much less genuine to the guy who follows it... As for Lilith, she needed equality in a time the place women people had none. In all actuality, youngster your self all you may, yet there remains no equality between women folk and men people. in lots of environments, men have the better hand. In others in spite of the incontrovertible fact that, women people do. seem at 'place of work dresses' policies in lots of place of work jobs. this could be a petty remark, yet men could completely placed on a shirt and tie, while women people in each place of work interest i've got ever had, get away with something seen 'expert'. needless to say, expert this modern day needless to say covers strappy tops etc. Which to me, is utter bullshit. entire equality could be all people donning shirt and ties, male or lady. Or all people donning casual. additionally, if women people choose equivalent rights so badly, open your individual damned pickle jars :P. I suggested that to my spouse to be as quickly as... that's often comical till the discomfort starts lol.

Answer 3

to get F'(x) you need to do a derivative.

First inverse

1/(x^2/3) = X^-2/3

Now do the power rule from calculus.

rX^(r-1) r = -2/3

(-2/3)*x^(-2/3 - 3/3) = (-2/3)*X^(-5/3)

That should be right

Answer 4

x= 1.822222