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derivative rule for exponents:
the derivative of x^n is n*x^(n-1)

also, the derivative of 1 is 0 since 1 is a constant

unless you want to find the derivative using the (x+h) method?

just an extra question but would the derivative of theta equal 1|dw:1443659495630:dw|

yes

(theta can be used like a variable, just like x)

i tried the x+h method and received a wrong answer so i will try the first way you talked about

x + h method will always give the right answer

i just have problems keeping my division right with powers

let's try the x + h method first, then I'll show you the "shortcut method" afterwords

alright

|dw:1443659654089:dw|

|dw:1443659860105:dw|

anyhoo, we cancel out the x^4 and the -x^4 next|dw:1443660131464:dw|

then we factor out h from the numerator

|dw:1443660161997:dw|

then we cancel out h to get|dw:1443660211856:dw|

then we set h = 0 to get|dw:1443660231771:dw|

no problem! Later on in class, you'll learn tricks and rules that will make this much easier

so, like I promised, I can show you a faster method to get the same answer

|dw:1443660442174:dw|

the derivative of 1 is 0, since 1 is a constant (no variable attached to it)

and, like I said before, the derivative of x^n is n*x^(n-1)

|dw:1443660601884:dw|

none of that icky x + h stuff, haha :P