Proof of the Derivative of the Exponential Functions

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you can't proove the general formula (a^x) by using the same formula for a private case (e^x) :-)

דורוןגרינשטיין

This is a good video, to anyone who claims it is circular reasoning you can prove d/dx e^x by using the limit definition of e with a slight modification. It’s the same thing with using sin(x)/x to find the the derivative of sin.

DroughtBee

I need a proof of how chain rule applies to exponents. i always get shortchanged at this part of the discussion because chain rule is always presented with bases and not exponents.

hg.

I’ve been stressing hours and hours on this question using the definition of the derivative factoring and so many other fancy tricks and the solution is just that simple the worst part is when I saw the formula for raising a number to a complex power I thought of this exact trick I feel so dumb

elreturner

I'm just wondering why it's not 1/a like every other ln derivative

alexanderboulton

I need a proof of how chain rule applies to exponents. i always get shortchanged at this part of the discussion because chain rule is always presented with bases and not exponents.

hg.

Proof of the Derivative of the Exponential Functions

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