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2. Consider the graph of g(x)-2+3-1 a Lt anyalues at which g)net dafferentiable Setch the tangent line to the curve at find the slope of the tangent at (fou may round your resut to two decimal places)

2. Consider the graph of g(x)-2+3-1 a Lt anyalues at which g)net dafferentiable Setch the tangent line to the curve at find the slope of the tangent at (fou may round your resut to two decimal places)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2:57 1 2. Consider the graph of g(x) - 2+1-1 a. List any values at which gx) is not differentiable Sketch the tangent line to the curve at x-8 C Given that g Yx) find the slope of the tangent at x-8. (You may round vour result to two 3(x+3y d. At what ordered pair location does the tangent line make contact with et? (You may round to two decimal places if necessary) Give the equation of the tangent line vou drew in part b E Sketch the tangent line to the curve at the intercept of g). E Give the exact value of the-intercept of gx). h Using the derivative of ggven in partc, find the slope of the tangent line drawn in part f. L Give the equation of the tangent ine you drew in part f. Sketch the tangent line to g) at -3. k Give the equation for the tangent line you drew in part LTrue or False? The slopes of the tangent lines drawn to the curve, g), are never negative True or False? The slopes of the tangent lines drawn to the curve, g), are never equal to 0.
Transcribed Image Text:2:57 1 2. Consider the graph of g(x) - 2+1-1 a. List any values at which gx) is not differentiable Sketch the tangent line to the curve at x-8 C Given that g Yx) find the slope of the tangent at x-8. (You may round vour result to two 3(x+3y d. At what ordered pair location does the tangent line make contact with et? (You may round to two decimal places if necessary) Give the equation of the tangent line vou drew in part b E Sketch the tangent line to the curve at the intercept of g). E Give the exact value of the-intercept of gx). h Using the derivative of ggven in partc, find the slope of the tangent line drawn in part f. L Give the equation of the tangent ine you drew in part f. Sketch the tangent line to g) at -3. k Give the equation for the tangent line you drew in part LTrue or False? The slopes of the tangent lines drawn to the curve, g), are never negative True or False? The slopes of the tangent lines drawn to the curve, g), are never equal to 0.
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