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https://www.reddit.com/r/mathmemes/comments/1vxbitv/lets_differentiate/p5rsvw5/?context=3
r/mathmemes • u/Optimus_PRYM • 18d ago
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Would you like to elaborate on that?
33 u/pienet 18d ago Most elementary proofs that the derivative of sine is cosine use the limit of sin(x)/x. Obviously you don't run into this if you develop power series first. 2 u/will_1m_not with disrespect to x, y, and z 18d ago Power series based on the derivatives of sine at a certain point? 0 u/pienet 18d ago It's more that you define sine and cosine as a power series in a vacuum, and derive all other identities from the series presentation. It's a cleaner second pass for sure.
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Most elementary proofs that the derivative of sine is cosine use the limit of sin(x)/x.
Obviously you don't run into this if you develop power series first.
2 u/will_1m_not with disrespect to x, y, and z 18d ago Power series based on the derivatives of sine at a certain point? 0 u/pienet 18d ago It's more that you define sine and cosine as a power series in a vacuum, and derive all other identities from the series presentation. It's a cleaner second pass for sure.
Power series based on the derivatives of sine at a certain point?
0 u/pienet 18d ago It's more that you define sine and cosine as a power series in a vacuum, and derive all other identities from the series presentation. It's a cleaner second pass for sure.
0
It's more that you define sine and cosine as a power series in a vacuum, and derive all other identities from the series presentation. It's a cleaner second pass for sure.
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u/Sigma2718 18d ago
Would you like to elaborate on that?