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1. Find the slope of the tangent line to the graph of function at point (xo, f(xo,)) F(x) = 2x³-3x² 2. Find an equation of tangent line to the graph of the equation at the given point. Sketch the graph, and show a segment of the tangent line at the given point, y = x²+ 6x+9; (-2, 1) 3. Find the derivative using increment method y=x" 4. Find the derivative of the following: a. f(x)=(2x-1)(3x²+ 5x-2)² b. f(x)=x6x4 4 3 c. f(x)=. x3x² d. f(x)=2 cos (sin x) e. f(x) 2 sin x x+1 -3

1. Find the slope of the tangent line to the graph of function at point (xo, f(xo,)) F(x) = 2x³-3x² 2. Find an equation of tangent line to the graph of the equation at the given point. Sketch the graph, and show a segment of the tangent line at the given point, y = x²+ 6x+9; (-2, 1) 3. Find the derivative using increment method y=x" 4. Find the derivative of the following: a. f(x)=(2x-1)(3x²+ 5x-2)² b. f(x)=x6x4 4 3 c. f(x)=. x3x² d. f(x)=2 cos (sin x) e. f(x) 2 sin x x+1 -3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Find the slope of the tangent line to the graph of function at point (xo, f(xo,)) F(x) = 2x³-3x² 2. Find an equation of tangent line to the graph of the equation at the given point. Sketch the graph, and show a segment of the tangent line at the given point, y = x²+ 6x+9; (-2, 1) 3. Find the derivative using increment method y=x" 4. Find the derivative of the following: a. f(x)=(2x-1)(3x²+ 5x-2)² b. f(x)=x6x4 4 3 c. f(x)=. x3x² d. f(x)=2 cos (sin x) e. f(x) 2 sin x x+1 -3
Transcribed Image Text:1. Find the slope of the tangent line to the graph of function at point (xo, f(xo,)) F(x) = 2x³-3x² 2. Find an equation of tangent line to the graph of the equation at the given point. Sketch the graph, and show a segment of the tangent line at the given point, y = x²+ 6x+9; (-2, 1) 3. Find the derivative using increment method y=x" 4. Find the derivative of the following: a. f(x)=(2x-1)(3x²+ 5x-2)² b. f(x)=x6x4 4 3 c. f(x)=. x3x² d. f(x)=2 cos (sin x) e. f(x) 2 sin x x+1 -3
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