Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 5x² at x = 2 Evaluate each of the following and enter your answers in simplest form: Step 1 f(2 + h) = Step 2 f(2 + h) – f(2) : f(2 + h) – f(2) Step 3 f(2 + h) – f(2) - Step 4 lim h→0 h So, f'(2) =

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) = 5x² at
x = 2
Evaluate each of the following and enter your answers in simplest form:
Step 1
f(2 + h) =
Step 2
f(2 + h) – f(2) :
f(2 + h) – f(2)
Step 3
f(2 + h) – f(2)
-
Step 4 lim
h→0
h
So, f'(2) =
Transcribed Image Text:Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 5x² at x = 2 Evaluate each of the following and enter your answers in simplest form: Step 1 f(2 + h) = Step 2 f(2 + h) – f(2) : f(2 + h) – f(2) Step 3 f(2 + h) – f(2) - Step 4 lim h→0 h So, f'(2) =
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