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bija089 [108]
3 years ago
7

I need the functions pls help

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

I’ve attached my work...

Hope it helps!!

Have a nice day :)

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 7x2 + xy + 7y2 = 15, (1, 1
riadik2000 [5.3K]
Assume y=y(x).

7x^2+xy+7y^2=15
\dfrac{\mathrm d}{\mathrm dx}[7x^2+xy+7y^2]=\dfrac{\mathrm d}{\mathrm dx}[15]
14x+y+x\dfrac{\mathrm dy}{\mathrm dx}+14y\dfrac{\mathrm dy}{\mathrm dx}=0
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\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{14x+y}{x+14y}

The slope of the tangent line to the curve at (a,b) is then -\dfrac{14a+b}{a+14b}, so the tangent to (1,1) has slope

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