33. T Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 +0.05, f(π/2 +0.05)), C(π/2+0.5, f(π/2+0.5)) and D(π, f(n)) (see figure), find the slopes of the secant lines through A and D, A and C, and A and B. Use your calculations to make a conjecture about the slope of the line tangent to the graph of fat x = π/2. y 2 L +0.5 0 +0.05 y = 1- cos x X

33. T Slope of tangent line Given the function f(x) = 1 - cos x and the points A(π/2, f(π/2)), B(π/2 +0.05, f(π/2 +0.05)), C(π/2+0.5, f(π/2+0.5)) and D(π, f(n)) (see figure), find the slopes of the secant lines through A and D, A and C, and A and B. Use your calculations to make a conjecture about the slope of the line tangent to the graph of fat x = π/2. y 2 L +0.5 0 +0.05 y = 1- cos x X

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.

Chapter5: Graphs And The Derivative

Section5.1: Increasing And Decreasing Functions

Problem 44E: Where is the function defined by f(x)=ex increasing? Decreasing? Where is the tangent line...

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