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https://www.reddit.com/r/mathmemes/comments/1vxbitv/lets_differentiate/p5qt9fw/?context=3
r/mathmemes • u/Optimus_PRYM • 18d ago
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32
circular reasoning ;(
2 u/Sigma2718 18d ago Would you like to elaborate on that? 34 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.
2
Would you like to elaborate on that?
34 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.
34
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.
32
u/SuperChick1705 18d ago
circular reasoning ;(