Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3). 1. Find the slope of the secant line PQ for each point Q(x, f(x)) with the x values given in the table. (Round each answer to 6 decimal places if necessary.) 2. Use the answers from the table to estimate the value of the slope of the tangent line at the point P. (Round your answer to the nearest integer.) Provide your answer below: x mpQ -0.1 -0.01 -0.001 0.001 0.01 0.1 slope

Given f(x) = 3-5x³, use a table to estimate the slope of the tangent line to f at the point P(0, 3). 1. Find the slope of the secant line PQ for each point Q(x, f(x)) with the x values given in the table. (Round each answer to 6 decimal places if necessary.) 2. Use the answers from the table to estimate the value of the slope of the tangent line at the point P. (Round your answer to the nearest integer.) Provide your answer below: x mpQ -0.1 -0.01 -0.001 0.001 0.01 0.1 slope

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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