Am I being really stupid or what? (Differentiation)

• Mar 14th 2012, 09:18 AM
ramdrop
Am I being really stupid or what? (Differentiation)
Hi

$t^{{\alpha}-1} dt$

When you differentiate that, its not
$({\alpha}-1)t^{{\alpha}-2$ ? Surely it is just $0$ ?

Or am I just being completely stupid..
• Mar 14th 2012, 10:03 AM
tom@ballooncalculus
Re: Am I being really stupid or what? (Differentiation)
$\frac{\mathrm{d}}{\mathrm{d}t}\ t^{a}\ =\ at^{a-1}$

(where t is the independent variable and a is a constant power)

or as we usually say,

$\frac{\mathrm{d}}{\mathrm{d}x}\ x^{n}\ =\ nx^{n-1}$

I haven't twigged why you want it to be 0.
• Mar 14th 2012, 10:06 AM
ramdrop
Re: Am I being really stupid or what? (Differentiation)
Nvm Solved it, its beena long day and I just made a stupid error xD