a. Use the definition mn limf(a+h)-f(a)to find the slope of the line tangent to the graph of f at P.h-0b. Determine an equation of the tangent line at P.f(x)= -4x+9, P(2,1)a. man=U

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f(a +h)-f(a) to find the slope of the line tangent to the graph of f at P. a. Use the definition mn= lim h-0 b. Determine an equation of the tangent line at P. 1(x) = -4x+9, P(2,1) a. Man %3D

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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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:

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a. Use the definition mn lim
f(a+h)-f(a)
to find the slope of the line tangent to the graph of f at P.
h-0
b. Determine an equation of the tangent line at P.
f(x)= -4x+9, P(2,1)
a. man=U

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