Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x – x² at (2, 4). Show your detailed and complete solution. Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show your detailed and complete solution. 1. f(x) = 3x2 at x = 5 2х-4 2. f(x) = at x = -2 Зx+7 Lesson 3.2. Derivative of a Function Activity 3.4. Use the definition of the derivative to find f'(x). Show your detailed and complete solution. 1. f(x) = 2x +1 2. f(x) %3D 3 — 2х -5х2 =

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x – x?
at (2, 4). Show your detailed and complete solution.
Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show your detailed
and complete solution.
1. f(x) = 3x2 at x = 5
2х-4
2. f(x)
at x = -2
Зx+7
Lesson 3.2. Derivative of a Function
Activity 3.4. Use the definition of the derivative to find f'(x). Show your detailed and complete solution.
1. f(x)
2. f(x) 3 3 — 2х—5х2
— 2х + 1
Activity 3.5. Find the derivative of the given function at a given number. Show your detailed and complete
solution.
1. g(x) = x² – 1 at g'(2)
2. h(x)
2х
at h'(-2)
x+2
Transcribed Image Text:Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x – x? at (2, 4). Show your detailed and complete solution. Activity 3.3. Find the equation of the tangent line to the curve f at the given value of x. Show your detailed and complete solution. 1. f(x) = 3x2 at x = 5 2х-4 2. f(x) at x = -2 Зx+7 Lesson 3.2. Derivative of a Function Activity 3.4. Use the definition of the derivative to find f'(x). Show your detailed and complete solution. 1. f(x) 2. f(x) 3 3 — 2х—5х2 — 2х + 1 Activity 3.5. Find the derivative of the given function at a given number. Show your detailed and complete solution. 1. g(x) = x² – 1 at g'(2) 2. h(x) 2х at h'(-2) x+2
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