The equation of the line perpendicular to the tangent to the curve at the point
Answer to Problem 37E
The required equation is
Explanation of Solution
Given information:
The curve:
Formula used:
Power rule:
Calculation:
The given curve is
To find the slope of the perpendicular to the tangent line, use the power rule of differentiation
Substitute 2 for x in the above derivative and simplify.
Since, the required line is perpendicular to the tangent line; so the slope of the negative reciprocal to the slope of the normal that is,
To find the equation of the perpendicular line to the tangent line, use the point-slope form of the equation of a line
Substitute 2 for
Hence, the required equation is
Chapter 3 Solutions
Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)
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