WebGiven, y= e x(1+x)Differentiating by using quotient rule, we gety= e 2xe x−(1+x)e x=−xe −x. WebFind the Derivative - d/dx 1/(1+e^(-x)) Step 1. Rewrite as . Step 2. Differentiate using the chain rule, which states that is where and . Tap for more steps... Step 2.1. To apply the Chain Rule, set as . Step 2.2. Differentiate using the Power Rule which states that is where . Step 2.3. Replace all occurrences of with .

Differentiate with respect to x ( 1 + x )/e^x - Toppr

WebGoogle Classroom. e^x ex is the only function that is the derivative of itself! \dfrac {d} {dx} [e^x]=e^x dxd [ex] = ex. (Well, actually, f (x)=0 f (x) = 0 is also the derivative of itself, but it's not a very interesting function...) The AP Calculus course doesn't require knowing the … WebAug 18, 2016 · Explanation: differentiate using the power rule and chain rule. y = 1 ex = e−x. ⇒ dy dx = e−x. d dx ( − x) = −e−x = 1 ex. Answer link. mini golf during the great depression

How do you differentiate xe^x? Socratic

WebMar 30, 2024 · Ex 5.5,6 - Chapter 5 Class 12 Continuity and Differentiability (Term 1) Last updated at March 30, 2024 by Teachoo Get live Maths 1-on-1 Classs - Class 6 to 12 WebDec 24, 2016 · The answer is =(xe^x)/(1+x)^2 We need the differentiation of a quotient (u/v)'=(u'v-uv')/v^2 Here, u=e^x, =>, u'=e^x v=1+x, =>, v'=1 Therefore, dy/dx=(e^x(x+1) … WebJul 4, 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site most popular member of enhypen