Video for finding dy/dx with the Quotient Rule:
Hello everyone Tom from EveryStepCalculus.com. I’m going to do a problem that a student asked to be solved. See if my programs could do it. So here it is. index 8 to get to my menu and we scroll to in the menu scroll to log problems and we want to differentiate so we’re going to choose number seven you can scroll or with the cursor, or else choose a number, I like to choose the number before it quicker and number two we want to do a log of base…something. We’re going to enter our function. You have to Press Alpha before you enter anything into these entry lines here, your going to press alpha and then we have to gonna press actually second alpha so we can put in the log which is l o g and then um. alpha to put the 5, for the base and then parentheses. And we’re going to put the square root of x divided by always use parentheses in the denominator 5 minus x, close off the parentheses. I always show you what you’ve entered so you can change in case you made a mistake, say it’s OK. And we have y equals log of this the calculator changes this because it switches around the 5-x to x-5 there’s a log rule applying here dy/dx equals log of a(u) this is the base a and whatever’s in here is the u and here is the formula for the log rule. You write that all in your paper and u is this part of the problem and so we’re going to do dy/dx that’s what it’s asked to find and we’re putting this into the log rule. Now this part here, derivative of this section here’s a quotient rule that equals this right here mark that down in your paper and here’s the answer log of 5 e times this part here. Pretty neat huh? EveryStepCalculus.com. Go to my site, buy my programs and pass calculus and subscribe to my channel if you want to hear and see more videos.