SOLUTION: Use the logarithmic differentiation to differentiate the function
y= (x+2)^2/(e^x √(x^2+16))
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Question 1010647: Use the logarithmic differentiation to differentiate the function
y= (x+2)^2/(e^x √(x^2+16))
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Use the logarithmic differentiation to differentiate the function
y= (x+2)^2/(e^x*sqrt(x^2+16))
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Use the product rule:
d/dx(u*v*w) = (du/dx)*v*w + (dv/dx)*u*w + (dw/dx)*u*v
du/dx = 2(x+2)
dv/dx =
dw/dx =
--------------
The rest is just bookkeeping.
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