E X Derivative Meme

But at the same time the integral of e x is also e x.

E x derivative meme. Differentiation of e x is e x. So we re gonna do a little bit of an exploration. At the same time it s not though. Now you can forget for a while the series expression for the exponential.

E x 1 e x. 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. 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.

Image conveys more information than a normal text. 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. Because at any point on e x the slope is equal to e x. Of all functions f x e x is the only function whose derivative is itself.

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. Do the problem yourself first. So not only is the slope of e x e x the area underneath the graph of e x is also e x.

E x 2 2x 2x e x 2. Calculate the derivative of e x 2. 157 points 1 year ago. Pimp my calculus.

Keep on deriving. Calculate the derivative of the following. That is the slope of all line tangent to the graph e x is just e x. Here is the image which explains it.

To see the answer pass your mouse over the colored area. Frac text d text d x e x e x the chain rule. X 2 e x. To cover the answer again click refresh reload.

This is such a derivative meme. Isn t it crazy how the derivative of e x is e x. C 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.

We can now apply that to calculate the derivative of other functions involving the exponential. If you don t understand this meme then chances are you re failing ap calculus. As i have learned in my engineering. E sin x cos x.

The exponent rule is a more generalized version of the special rule for finding the derivative of e x. A post shared by ap calculus memes apcalcmemes on nov 21 2016 at 5 31pm pst. When the exponential expression is something other than simply x we apply the chain rule.