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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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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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