(a) Calculate the differential df of the function f = tan(x). Use it to find an = π/4, approximation for the change of f in the vicinity of x i.e. ▲ƒ = f(x) − f(7/4), in the form of differential df at x = π/4. (b) Use this differential to approximate tan(π/3) given that = П +聶 .

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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(a) Calculate the differential df of the function f = tan(x). Use it to find an
= π/4,
approximation for the change of f in the vicinity of x
i.e. ▲ƒ = f(x) − f(7/4), in the form of differential df at x = π/4.
(b) Use this differential to approximate tan(π/3) given that
=
П
+聶
.
Transcribed Image Text:(a) Calculate the differential df of the function f = tan(x). Use it to find an = π/4, approximation for the change of f in the vicinity of x i.e. ▲ƒ = f(x) − f(7/4), in the form of differential df at x = π/4. (b) Use this differential to approximate tan(π/3) given that = П +聶 .
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