Consider hyperbola xy = 16 to find the equation of tangent at point (2, 8) .
Text Solution
AI Generated Solution
To find the equation of the tangent to the hyperbola \(xy = 16\) at the point \((2, 8)\), we will follow these steps:
### Step 1: Differentiate the equation of the hyperbola
The equation of the hyperbola is given by:
\[
xy = 16
\]
We differentiate both sides with respect to \(x\) using the product rule:
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