Mathematics, 16.10.2019 16:40 zeesharpe05
Use a substitution to differentiate the expression with respect to x:
Answers: 2
![\bf y=\cfrac{1}{x+1}+x\qquad \qquad \begin{cases} u=x+1\\ \frac{du}{dx}=1\\[-0.5em] \hrulefill\\ u-1=x \end{cases}\qquad \qquad y=\cfrac{1}{u}+(u-1) \\\\\\ y=u^{-1}+u-1\implies \cfrac{dy}{du}=\stackrel{\textit{chain-rule}}{-u^{-2}\cdot \cfrac{du}{dx}}+\stackrel{\textit{chain-rule}}{1\cdot \cfrac{du}{dx}}+0 \\\\\\ \cfrac{dy}{dx}=-\cfrac{1}{u^2}\cdot 1+1\cdot 1\implies \cfrac{dy}{dx}=-\cfrac{1}{u^2}+1\implies \cfrac{dy}{dx}=-\cfrac{1}{(x+1)^2}+1](/tpl/images/0325/5205/203cf.png)
Another question on Mathematics
Mathematics, 21.06.2019 13:30
Patel’s class voted on their favorite color. patel plans to make a circle graph to display the results. which statements are true about the circle graph patel can create? check all that apply.
Answers: 2
Mathematics, 21.06.2019 17:40
The graph of y = ax^2 + bx + c is a parabola that opens up and has a vertex at (0, 5). what is the solution set of the related equation 0 = ax%2 + bx + c?
Answers: 2
Mathematics, 21.06.2019 20:00
Which expression is rational? 6. , square root two, square root 14, square root 49
Answers: 1
You know the right answer?
Use a substitution to differentiate the expression with respect to x:...
Questions
English, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
History, 28.09.2020 16:01
Chemistry, 28.09.2020 16:01
English, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
History, 28.09.2020 16:01
English, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
Chemistry, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
Mathematics, 28.09.2020 16:01
