+0  
 
0
418
2
avatar

y=(x+2)(x-1)2 differentiate in respect to x

 Jul 21, 2017
 #1
avatar+20848 
+2

y=(x+2)(x-1)2 differentiate in respect to x

 

\(y=(x+2)(x-1)^2 \\ y=(x+2)(x^2-2x+1) \\ y=x^3-2x^2+x+2x^2-4x+3 \\ y = x^3-3x+3\\ \mathbf{y' = 3x^2-3 }\)

 

laugh

 Jul 21, 2017
 #2
avatar+95358 
+2

y=(x+2)(x-1)^2 differentiate in respect to x

 

Use product rule

 

y'=uv'+vu'

 

\(u=x+2   \qquad     v=(x-1)^2\\ u'=1 \qquad \quad v'=2(x-1)\)

 

\(\frac{dy}{dx}=(x+2)*2(x-1)+(x-1)^2*1\\ \frac{dy}{dx}=2(x+2)(x-1)+(x-1)^2\\ \frac{dy}{dx}=(x-1)[(2x+4)+(x-1)]\\ \frac{dy}{dx}=(x-1)[(3x+3)]\\ \frac{dy}{dx}=3(x-1)(x+1)\\ \frac{dy}{dx}=3(x^2-1)\\ \frac{dy}{dx}=3x^2-3\\\)

.
 Jul 21, 2017

32 Online Users

avatar
avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.