(a) Find the slope of the curve y=x²-3x -4 at the point P(3,-4) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3,-4). (a) The slope of the curve at P(3,-4) is (Simplify your answer.) (b) The equation of the tangent line to the curve at P(3,-4) is y=.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 45E
icon
Related questions
Question
100%
(a) Find the slope of the curve
ve y = x² − 3x − 4 at the point P(3, – 4) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(3,-4).
(a) The slope of the curve at P(3, - 4) is
(Simplify your answer.)
(b) The equation of the tangent line to the curve at P(3,- 4) is y =
Transcribed Image Text:(a) Find the slope of the curve ve y = x² − 3x − 4 at the point P(3, – 4) by finding the limit of the secant slopes through point P. (b) Find an equation of the tangent line to the curve at P(3,-4). (a) The slope of the curve at P(3, - 4) is (Simplify your answer.) (b) The equation of the tangent line to the curve at P(3,- 4) is y =
Expert Solution
Step 1

Calculus homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning