(Liste) E X Derivative Meme

A e sin x.

E x derivative meme. Of all functions f x e x is the only function whose derivative is itself. E x 2 2x 2x e x 2. 157 points 1 year ago. This is one of the properties that makes the exponential function really important. Because at any point on e x the slope is equal to e x. A post shared by ap calculus memes apcalcmemes on nov 21 2016 at 5 31pm pst. E sin x cos x.

That is the slope of all line tangent to the graph e x is just e x. The exponent rule is a more generalized version of the special rule for finding the derivative of e x. Keep on deriving. Let s just pick some points on this curve of y is equal to e to the x and think about what the slope of the tangent line is or what the derivative looks like and so let s say when y is equal to one or when e to the x is equal to one this is the case when x is equal to zero. Image conveys more information than a normal text. C x 2 e x. So we re gonna do a little bit of an exploration.

Now you can forget for a while the series expression for the exponential. Calculate the derivative of e x 2. But at the same time the integral of e x is also e x. If you don t understand this meme then chances are you re failing ap calculus. There s no shortage of memes in 2017 and believe it when we say there are more to come. That s such an arbritrary number isn t it. This is such a derivative meme.

To see the answer pass your mouse over the colored area. Isn t it crazy how the derivative of e x is e x. Here is the image which explains it. Do the problem yourself first. As i have learned in my engineering. E x 1 e x. Calculate the derivative of the following.

All you need to know is that e x is something called a function and taking the derivative or d dx is something commonly done to functions that results in another altered function. Pimp my calculus. We only needed it here to prove the result above. The derivative of e x is e x. The important thing is that e x is a very special function because its the only one. At the same time it s not though. We can now apply that to calculate the derivative of other functions involving the exponential.

X 2 e x. First we take the derivative of the entire expression then we multiply it by the derivative of the expression in the exponent. To cover the answer again click refresh reload. So not only is the slope of e x e x the area underneath the graph of e x is also e x.