## Related questions with answers

Question

Find the equation for the tangent line to each curve at the indicated point. $x y=17 ;\left(x_0, 17 / x_0\right)$.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 5Let $f(x,y)=xy=17$. Then:

$\begin{aligned} f_x&=y\\ f_y&=x\\ f_x(x_0,17/x_0)&=\dfrac{17}{x_0}\\ f_y(x_0,17/x_0)&=x_0\\ \end{aligned}$

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