2012年6月29日 · Homework Statement Proof d/dx e^x=e^x, use e=limit (1+1/h)^h h->infinity Show how that implies d/dx e^x=e^x t Homework Equations The Attempt at a Solution Ive tried using chain rule--wasnt accepted Also, I did e=(1+h)^[1/h]- …

2008年12月9日 · So e-x which is 1/e x, must be positive and always decreasing with increasing x. i.e. d(e-x)/dx is always negative. One way to know your initial conjecture had to be wrong. One way to know your initial conjecture had to be wrong.

2007年2月20日 · Well, all you need to know for this question is that [tex]\frac{d}{dx}\cosh x=\sinh x , \hspace{1cm} \frac{d}{dx}\sinh x=\cosh x[/tex] and the identity [tex]\cosh^2x-\sinh^2x=1[/tex] Last edited: Feb 20, 2007

2005年11月16日 · Of course, without the knowledge that de x /dx=e x, you wouldn't know that the anti-derivative of 1/x is ln(x)! It looks circular, but you could go the other way 'round the circle i.e. start by defining a function as a solution to the integral:

2009年1月11日 · What is the derivative of e^y? i think i am differentiating with respect to x Homework Equations Derivative of y^x is y^x The Attempt at a Solution I don't know if I should use the chain rule or treat it like y^x. When i used the chain rule I got ye^y-1, but then I wondered if it should be e^y.

2011年12月24日 · There are two methods to take d/dx [ ∫t=0x exp(-t^2) dt]. First method: using the relationship of integral and antiderivative, one gets (exp(-t^2) , from t = 0 to x, so exp(-x^2) - 1. Second method: the integral is (1/2)sqrt(pi)*erf(t) from 0 …

2005年11月20日 · e 2x = sin(x+ 3y) Differentiate both sides with respect to x gives: 2e 2x = cos(x+ 3y)(1+ 3y')-----To find dy / dx of y = cos x x. Just do the same: cos x x = e x ln(cos(x))-----Or, you can do it a bit differently: y = cos x x Take the logarithm of both sides gives: ln y = x ln(cos x) Then you can differentiate both sides with respect to x, and ...

2009年9月17日 · Homework Statement find y=d/dx(e^x.e^x^2.e^x^3....e^x^n) at 0 Insights Blog -- Browse All Articles -- Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio/Chem Articles Technology Guides Computer Science Tutorials

2016年9月12日 · $\large{242.ws3.1}\\$ $\d{}{x}e^{x}=e^{x}$ and $\d{}{x}\left[\tan^{-1}\left({x}\right)\right]=\frac{1}{1+{x}^{2}}$ find the derivative $$\d{}{x}...

2003年11月30日 · The "obvious" way (to me anyway) is to note that the derivative of e x is e x and use the chain rule: de nx /dx= e x (d(nx)/dx)= ne nx. But we can also write e nx = (e n) x and use the fact that da x /dx= (ln a) a x: d((e n) x)/dx= ln(e n)(e n) x = ne n x. Or do it the other way around: e nx = (e x) n) and use the power rule (together with the ...