Use chain rule to find derivatives of the following functions: (3x-1/2x+1)²
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Answer:
dx/dy=23hfstjiuxezxttip00
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Explanation:
Method 1
y=(3x+1)2
Assume the function in the bracket as some other variable say t.
t=3x+1
dtdx=3
y=t2
dydx=dydt⋅dtdx
=2t⋅3
dydx=6(3x+1)
Method 2
If you can expand everything and find the derivative
y=(3x+1)2
y=9x2+6x+1
dydx=18x+6
dydx=6(3x+1)
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