Calculate the differential df of the function f = tan(x). Use it to find an approximation for the change of f in the vicinity of x = π/4, i.e. Aƒ = f(x) − f(7/4), in the form of differential dƒ at x = π/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
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Calculate the differential df of the function f = tan(x). Use it to find an
approximation for the change of f in the vicinity of x
= π/4,
i.e. Aƒ = f(x) − f(7/4), in the form of differential dƒ at x = π/4.
Transcribed Image Text:Calculate the differential df of the function f = tan(x). Use it to find an approximation for the change of f in the vicinity of x = π/4, i.e. Aƒ = f(x) − f(7/4), in the form of differential dƒ at x = π/4.
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