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Posts: 7962

taking first and second derivatives of things like (3/x^2)....how to do that and then the opposite with things like (x^4/4) help is greatly appretiated thanks

*NORTH EAST CULT*

matt

matt

Posts: 815

general power rule for 1st derivatives

X^n = nX^n-1 so if you have X^4 the derivative is 4x^3, for second deriv you just repeat ,so 4x^3 would go to 12x^2, and so on until it becomes a constant which goes to zero

Antiderivatives: general formula: x^n goes to 1/n+1x^n+1 + C, so the anti deriv of X^4 would then be (1/5)x^5+C where C is a constant.

hope this helps

X^n = nX^n-1 so if you have X^4 the derivative is 4x^3, for second deriv you just repeat ,so 4x^3 would go to 12x^2, and so on until it becomes a constant which goes to zero

Antiderivatives: general formula: x^n goes to 1/n+1x^n+1 + C, so the anti deriv of X^4 would then be (1/5)x^5+C where C is a constant.

hope this helps

Posts: 1464

it's been a little while since my last calc. class but i think it goes something like this:

1/x^n is the same thing as x^-n

so if you have (3/(x^2)) you can write it like 3x^-2

then you take the first derivative like you normally would:

3(-2)x^(-2-1)

and you end up with -6x^-3 or (-6/(x^3))

this is different from ((x^4)/4). Here, x is in the numerator so you can just derive it right away:

(4(x^3))/4 or x^3.

i'm pretty sure that's how it goes.

1/x^n is the same thing as x^-n

so if you have (3/(x^2)) you can write it like 3x^-2

then you take the first derivative like you normally would:

3(-2)x^(-2-1)

and you end up with -6x^-3 or (-6/(x^3))

this is different from ((x^4)/4). Here, x is in the numerator so you can just derive it right away:

(4(x^3))/4 or x^3.

i'm pretty sure that's how it goes.

Posts: 209

when taking derivatives, multiply the base times the power, then write that with the exponent minus one. for example, 4x^3 turns into 12x^2. the derivative of x is simply 1, and the derivatives of constants, like 3 or 12, is zero.

Posts: 3541

another tip.....when taking the derivative of things like (x^4) / 4 its easier to separate it into (1/4)x^4

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Original Member #195

http://www.newschoolers.com/web/members/profile/member_id/195/

Original Member #195

http://www.newschoolers.com/web/members/profile/member_id/195/

Posts: 2501

yeah, theyve got you pretty much covered there. when taking antiderivatives dont forget to add the C at the end to represent a constant

Posts: 7962

thank you thats what i needed

*NORTH EAST CULT*

matt

matt

Posts: 223

I have a 67 in calculus.

Posts: 6121

That's too bad...I might 3.5 my calc 3 class if I'm lucky which would be AMAZING. Fucking hard as hell class.

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www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

*Cleavage* (n.): Something that can be looked down on and approved of at the same time.

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 7962

i got an A- in honors calc first quarter...but its my senior year, and i kinda stoped going to classes and wat not already, probably shouldnt have done that

*NORTH EAST CULT*

matt

matt

Posts: 6121

You didn't do power rule derivatives and integrals in honors calc?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

*Cleavage* (n.): Something that can be looked down on and approved of at the same time.

www.rajheadwear.bravehost.com

You're not drunk if you can lie on the floor without holding on

Posts: 11967

I definitely dropped that class...soo key for senior year.

Be prepared to get fucked by the long dick of the law.

Formerly fbskier20 and coolstoryHansel

Formerly fbskier20 and coolstoryHansel

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