4x at Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) x = 4 Evaluate each of the following and enter your answers in simplest form: Step 1 f(4 + h) = Step 2 f(4 + h) – f(4) = f(4 + h) – f(4) Step 3 %3D h f(4 + h) – f(4) lim h 0 Step 4 h So, f'(4)

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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Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 4xʻ at
x = 4
Evaluate each of the following and enter your answers in simplest form:
Step 1
f(4 + h) =
Step 2
f(4 + h) – f(4) =
f(4 + h) – f(4)
Step 3
f(4 + h) – f(4)
Step 4 lim
h 0
So, f'(4)
Transcribed Image Text:Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 4xʻ at x = 4 Evaluate each of the following and enter your answers in simplest form: Step 1 f(4 + h) = Step 2 f(4 + h) – f(4) = f(4 + h) – f(4) Step 3 f(4 + h) – f(4) Step 4 lim h 0 So, f'(4)
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