Use the limit definition to compute the derivative of the function at t = 3. f(t)= t-3t2 f '(3)=____________________ Find an equation of the tangent line at t = 3. (Enter your answer as an equation using the variables y and t.) ___________________________

Use the limit definition to compute the derivative of the function at t = 3. f(t)= t-3t2 f '(3)= Find an equation of the tangent line at t = 3. (Enter your answer as an equation using the variables y and t.) _______

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Concept explainers

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

Question

Use the limit definition to compute the derivative of the function at

t = 3.

f(t)= t-3t²

f '(3)=____________________

Find an equation of the tangent line at

t = 3.

(Enter your answer as an equation using the variables y and t.)

___________________________

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