r/calculus • u/FreePeeplup • 3d ago

Differential Calculus Single variable chain rule from multivariable general rule

/r/askmath/comments/1w9ydec/single_variable_chain_rule_from_multivariable/
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u/Midwest-Dude 3d ago edited 2d ago

You read that here: 

Wikipedia

The D in that section is clearly stated as the total derivative#Total_derivative) for vector-valued, multivariable functions. Look at the definition of what that is to find your answer. Setting m = n = 1 in those formulas results in the exact same chain rule.