Evaluating the definitional form of the derivative of…
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Evaluating the definitional form of the derivative of positive rational exponents
Hi everyone, I am creating this post for students who are interested...(maybe calc1 or calc2) who are curious about a derivation of the derivative for functions of rational exponents. As a calc1 student, I saw the binomial theorem used for natural powers and also later other proofs using the chain rule. I learned that actually there does exist algebra formulas which can evaluate the definitional form too which I think is a pretty amazing.
Power rule - Wikipedia https://en.wikipedia.org/wiki/Power_rule#Proof_by_Geometric_Series_%28natural_number%29
https://preview.redd.it/y7n5ux2loapg1.jpg?width=1170&format=pjpg&auto=webp&s=25251adcbc810ee113038908de6552d6b4ee278d
#science
Hi everyone, I am creating this post for students who are interested...(maybe calc1 or calc2) who are curious about a derivation of the derivative for functions of rational exponents. As a calc1 student, I saw the binomial theorem used for natural powers and also later other proofs using the chain rule. I learned that actually there does exist algebra formulas which can evaluate the definitional form too which I think is a pretty amazing.
Power rule - Wikipedia https://en.wikipedia.org/wiki/Power_rule#Proof_by_Geometric_Series_%28natural_number%29
https://preview.redd.it/y7n5ux2loapg1.jpg?width=1170&format=pjpg&auto=webp&s=25251adcbc810ee113038908de6552d6b4ee278d
#science
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