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DiKsa [7]
3 years ago
6

Y=3x^2+6x-7/(x+1)^2 Show that dy/dx = 20/(x+1)^3

Mathematics
1 answer:
fredd [130]3 years ago
3 0
Apply the quotient rule  
d(uv)  =    v du/dx - u dv/dx
  dx           ----------------------
                         v^2

 du/dx  =  6x + 6
 dv/dx   =  2(x + 1)
 v^2 = (x + 1)^4   so we have

dy dx =  (x + 1)^2 .* (6x + 6) - (3x^2 + 6x - 7) * 2(x + 1)   /  (x + 1)^4

         =   (x + 1) [(6(x + 1)^2 - 2(3x^2 + 6x - 7) ]  / (x + 1)^4

         =  (x^2 + 12x +6 - 6x^2  - 12x + 14 ) / (x + 1)^3  

        =  20 / (x + 1)^3   Answer
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3 years ago
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3 0
3 years ago
Plz help me find answer. what are the coordinates of slope when y= x/1–x² when dy/dx=1​
vova2212 [387]

Step-by-step explanation:

dy/dx

= d/dx [x / (1 - x²)]

= [(1 - x²)(1) - (x)(-2x)] / (1 - x²)²

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When dy/dx = 1, (1 + x²) / (1 - x²)² = 1.

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8 0
2 years ago
A parallelogram has a perimeter of 33.2 centimeters. Two of the sides are each 11.6
rodikova [14]

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5

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