Question #47285

y=power of x is 2 +2x+1/x+1 differentiate it
1

Expert's answer

2014-09-30T10:08:02-0400

Answer on Question #47285 – Math – Calculus

y=y = power of xx is 2+2x+1/x+12 + 2x + 1/x + 1 differentiate it.

Solution

The function is


y=x2+2x+1x+1y = x ^ {2} + 2 x + \frac {1}{x} + 1


And its derivative is


dydx=ddx(x2+2x+1x+1)=2x+21x2\frac {d y}{d x} = \frac {d}{d x} \left(x ^ {2} + 2 x + \frac {1}{x} + 1\right) = 2 x + 2 - \frac {1}{x ^ {2}}


Answer:


dydx=2x+21x2\frac {d y}{d x} = 2 x + 2 - \frac {1}{x ^ {2}}


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