Can anything be said about the tangent lines to the curves y = sin mx and y = -sin (x/m) at the origin (m a constant ≠ 0)? Give reasons for your answer.

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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Can anything be said about the tangent lines to the
curves y = sin mx and y = -sin (x/m) at the origin
(m a constant ≠ 0)? Give reasons for your answer.

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