5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x² - x + 2 at the point (1, 3). Also, find the equation of the tangent line to the curve at the point (1, 3). (Hint: Recall that by definition of the derivative f'(a) = lim f(x)-f(a) x1a x-a

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.
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5. Use the definition of the derivative to find the slope of the tangent line
to the curve y = 2x²-x+2 at the point (1, 3). Also, find the equation of the
tangent line to the curve at the point (1, 3).
(Hint: Recall that by
definition of the derivative
f'(a) = lim
f(x)-f(a)
x1a
x-a
Transcribed Image Text:5. Use the definition of the derivative to find the slope of the tangent line to the curve y = 2x²-x+2 at the point (1, 3). Also, find the equation of the tangent line to the curve at the point (1, 3). (Hint: Recall that by definition of the derivative f'(a) = lim f(x)-f(a) x1a x-a
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