What is the slope of a line normal to the curve y=tan(x)/(1+tan(x)) at x=pi/4?

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.
Chapter4: Calculating The Derivative
Section4.6: Derivatives Of Trigonometric Functions
Problem 4YT
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What is the slope of a line normal to the curve y=tan(x)/(1+tan(x)) at x=pi/4?

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,