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Johan14th
 one year ago
Can i get help to solve for the derivative of f(x)= x^4 +1
Johan14th
 one year ago
Can i get help to solve for the derivative of f(x)= x^4 +1

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Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2derivative rule for exponents: the derivative of x^n is n*x^(n1)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2also, the derivative of 1 is 0 since 1 is a constant

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2unless you want to find the derivative using the (x+h) method?

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0just an extra question but would the derivative of theta equal 1dw:1443659495630:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2(theta can be used like a variable, just like x)

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0i tried the x+h method and received a wrong answer so i will try the first way you talked about

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2x + h method will always give the right answer

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0i just have problems keeping my division right with powers

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2let's try the x + h method first, then I'll show you the "shortcut method" afterwords

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443659654089:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443659860105:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2now, if you're wondering how I got from (x+h)^4 to that huge expression, I used Pascal's triangle (if you don't know it already, I highly suggest learning about it! it saves tons of time)

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0we've barely seen it in class, weird enough it was for engineering and not calculus, but now i will try to learn it ahead of time. thank you

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2anyhoo, we cancel out the x^4 and the x^4 nextdw:1443660131464:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2then we factor out h from the numerator

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443660161997:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2then we cancel out h to getdw:1443660211856:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2then we set h = 0 to getdw:1443660231771:dw

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0alright i think i finally got a hand of this. i was just really confused in class but this explains everything nice and easy thanks again.

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2no problem! Later on in class, you'll learn tricks and rules that will make this much easier

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2so, like I promised, I can show you a faster method to get the same answer

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443660442174:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2the derivative of 1 is 0, since 1 is a constant (no variable attached to it)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2and, like I said before, the derivative of x^n is n*x^(n1)

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443660601884:dw

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2none of that icky x + h stuff, haha :P

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0Haha well this just made my hour of calculus struggle and the 10 trees i had to sacrifice for the paper really lame ...

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.2I had to do that, too, lol. I think most calc teachers start off with the x + h method just to emphasize the idea of what a derivative really is (the rate of change over a small interval h)

Johan14th
 one year ago
Best ResponseYou've already chosen the best response.0yes unfortunately for me this also involves a dozen of cheesy math songs that get stuck in your head all day.
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