This is a video from everystepcalculus.com demonstrating how my programs work on a TI-89 Titanium calculator and other calculators in the TI system for calculus and physics problems ok the derivative of log of x and let’s get started to enter my menu you have to push second alpha and then put i n d e x in here and then press alpha to put the eight and the open closed parenthesis and press enter and you’re into my menu. I’ve already scrolled down to log of x it’s all alphabetical. I’m going to press enter you want to differentiate it and we’re going to enter you have to press alpha before you enter anything in these entry lines of my programs. So I’m going to press alpha I’m gonna put log and we wanna put this time cosine of five times x close off the parenthesis twice there. I always show you what you’ve entered so you can change it in case you made a mistake. I say it’s ok and you notice here’s the formula u prime over u u is what’s ever inside the parenthesis of the log natural log and so we have the cosine of five x the derivative of cosine of five x is minus five sine of five x and then u prime over u which turns out to be sine over cosine which is really tangent so the answer is minus five times tangent of five x pretty neat huh
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