Derivative of e^(x)

Derivative of e^(x)

Postby nycmath » Sun Sep 06, 2026 2:45 pm

I know that d/dx of e^x = e^x.

Why does d/dx of e^x = the same function?

Can you show the proof?
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Re: Derivative of e^(x)

Postby Eigenvalue » Sun Sep 06, 2026 10:46 pm

Part H ([tex]e^{x }[/tex]):
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IMG_20260906_214535~2.jpg
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Last edited by Eigenvalue on Mon Sep 07, 2026 1:30 am, edited 1 time in total.

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Re: Derivative of e^(x)

Postby Eigenvalue » Sun Sep 06, 2026 10:59 pm

Summary:
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Re: Derivative of e^(x)

Postby Eigenvalue » Mon Sep 07, 2026 1:31 am

Part J (sin(x)):
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Re: Derivative of e^(x)

Postby Eigenvalue » Mon Sep 07, 2026 1:32 am

Part K (cos(x)):
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Re: Derivative of e^(x)

Postby Eigenvalue » Mon Sep 07, 2026 1:34 am

Part A (x):
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Re: Derivative of e^(x)

Postby Eigenvalue » Mon Sep 07, 2026 1:35 am

Parts B (x²) and C (x³):
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