Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Related questions
Question
find (a) the slope
of the curve at the given point P, and (b) an equation of the tangent
line at P. y = 2 - x3, P(1, 1)
Expert Solution
Step 1
We have to find:
slope of the curve at the given point
and an equation of tangent at the given point
Where curve and point is given
We know that slope of the curve and derivative of the curve at the given point is same
or,
Therefore differentiating the curve with respect to , we get
Finding at point ,
Hence, slope of the curve is .
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