Explanation Given: The function is y = tan 2 x , where a = π 4 , d x = − 0.02 . Formula used: Linear approximation of Δ f : If f is differentiable at x = a and Δ x is small then Δ f ≈ f ′ ( a ) Δ x Calculation: The function is y = tan 2 x . Differentiate the function with respect to x . y ′ = 2 tan x sec 2 x We know that, Δ y = d y . The formula of linear approximation is Δ y ≈ f ′ ( a ) Δ x

Loose-leaf Version For Calculus: Early Transcendentals

4th Edition

ISBN: 9781319055912

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 4.1, Problem 30E

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Estimate the value of Δy using differential.

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Chapter 4.1, Problem 29E

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Chapter 4 Solutions

Loose-leaf Version For Calculus: Early Transcendentals

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