E 1 X

E 1 x as limit x 0 and 0 homework statement lt e 1 x 0 x 0 and lt e 1 x infinity x 0 homework equations the attempt at a solution let y e 1 x ln y 1 x ln e lt ln e x x 0 applying l hospitals.

E 1 x. For math science nutrition history. Compute answers using wolfram s breakthrough technology knowledgebase relied on by millions of students professionals. The equation of the horizontal asymptote is y 0 y 0. It only takes a minute to sign up.

Then du dx e 1 x x 2 using the result we got for the first derivative and dv dx 2x 3. The correct answer is e 2x. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. Dy dx v du dx u dv dx product rule x 2 e 1 x x 2 e 1 x 2x 3.

To find the second derivative we need to use the product or quotient rule let u e 1 x and v x 2. Graph e 1 x e 1 x e 1 x exponential functions have a horizontal asymptote. For math science nutrition history. Just another way to think of it is when you multiply x x you have x 1 x 1 and your answer is x 1 1 x 2.

So e x e x e x x e 2x.