Okay 4chan. I need help with calculus.
Here's your mission: find the derivative using the product rule. Simplify your answers.
f(x)= x^2(x^3+1)
f(x)= x(5x^2-1)
f(x)= (x^2+x)(3x+1)
Also, show your work so I can do the rest of these problems. Thank you.
Name:
Anonymous2006-09-20 19:33
Why would you use the product rule when in these cases it's easier to simplify the equations first? ALSO, the product rule is so fucking simple, if you really need help with it, kill yourself.
Name:
Anonymous2006-09-20 19:34
I know it's easier to simplify, but that's not what the instructions are. I know the product rule is simple, but I seem to end up with extra numbers.
Name:
Anonymous2006-09-20 19:39
Show us what you do for the first one, and we'll tell you where you fuck up.
Name:
Anonymous2006-09-20 19:44
Okay.
f(x)= x^2(x^3+1)
f(x)= 2x(x^3+1)+x^2(3x^2+1)
f(x)= 2x^4+2x + 3x^4+x^2
f(x)= 6x^4+2x+x^2
The answer, according to the book, is 6x^4+2x. I dunno where I got x^2.
Name:
Anonymous2006-09-20 19:52
f(x)= x^2(x^3+1)
f(x)= 2x(x^3+1)+x^2(3x^2+1)
Look what you did there at the end. The 1 should have disappeared (Think of it as 1*x^0, which becomes 1*0*x^-1, ie 0).
Name:
Anonymous2006-09-20 19:55
But then the answer is 2x^3 + 4x^4 because you have to combine, right?