Question
1.3: Consider a point in the first quadrant on the hyperbola
with . The
slope of the tangent line at that point is
(a)
(b)
(c)
(d)
(e)
Hints
Solutions
Solution
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We will use implicit differentiation to find the first derivative:
From this we can conclude that
We will solve for at the point :
We can substitute the values into the expression found above for .
Alternatively, we could have first substituted in and and only then isolated to find the slope of the tangent line:
The correct answer is D)
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