Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but don't forget it before your final exam!). Using your derivative rules so far, find the equations requested, showing all your work and explaining your logic. 1. Find the equation of the tangent line to the graph of y = 3x² + 3x - 1 that is perpendicular to the linex - y = 9 2. Let p(x) = x³ + ax²+bx+c, where a, b, c E R. Find the values of the constants a, b, c that makes p (3) = p' (2) =p" (1) = p"" (0). State the full equation for p(x) once you have foun the constants.

Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but don't forget it before your final exam!). Using your derivative rules so far, find the equations requested, showing all your work and explaining your logic. 1. Find the equation of the tangent line to the graph of y = 3x² + 3x - 1 that is perpendicular to the linex - y = 9 2. Let p(x) = x³ + ax²+bx+c, where a, b, c E R. Find the values of the constants a, b, c that makes p (3) = p' (2) =p" (1) = p"" (0). State the full equation for p(x) once you have foun the constants.

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.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 35E

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