Mathematics, 15.07.2019 15:30 daydallas01
Find an equation of the tangent line to the hyperbola y = 3/x at the point (3, 1).
Answers: 1
is 
.
(1)
- Independent variable.
- Slope.
- Intercept.
- Dependent variable.
(2)
and 
, then the equation of the tangent line is:
so 
. The derivative supplies us with the slope formula we need to write the equation. Sub in the x value of 3 to find what the slope is: 
. So in our slope-intercept equation, x = 3, y = 1, and m = -1/3. Use these values to solve for b. 
so b = 2. The equation, then, for the line tangent to that hyperbola at that given point is 
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Find an equation of the tangent line to the hyperbola y = 3/x at the point (3, 1)....
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