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6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x2- 3)(x² + 1), x= -4 b) g(x) = (2x² – 1)(-x² + 3), x =2 c) h(x)= (x+4)(2x² - 6), x =-1 d) p(x) = (-x³ + 2)(4x² – 3), x = 3 %3D

6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x2- 3)(x² + 1), x= -4 b) g(x) = (2x² – 1)(-x² + 3), x =2 c) h(x)= (x+4)(2x² - 6), x =-1 d) p(x) = (-x³ + 2)(4x² – 3), x = 3 %3D

Trigonometry (MindTap Course List)
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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6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x² – 3)(x2 + 1), x= -4 b) g(x) = (2x2 -1)(-x² + 3), x =2 c) h(x)= (x* + 4)(2x²-6), x =-1 %3D d) p(x)= (-x³+ 2)(4x² – 3), x = 3
Transcribed Image Text:6. Determine the equation of the tangent to each curve at the indicated value. a) f(x)= (x² – 3)(x2 + 1), x= -4 b) g(x) = (2x2 -1)(-x² + 3), x =2 c) h(x)= (x* + 4)(2x²-6), x =-1 %3D d) p(x)= (-x³+ 2)(4x² – 3), x = 3
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