Khan Academy Static

If you have one function that takes a single number to a high dimensional space, and another which maps that high dimensional space back down to the number line, applying one after the other gives a regular old single-variable function. But how do you find the derivative of this new function?

6674_Multivariable_chain_rule_intuition.html

6676_Multivariable_chain_rule_and_directional_derivatives.html

6677_More_formal_treatment_of_multivariable_chain_rule.html

6675_Vector_form_of_the_multivariable_chain_rule.html

6673_Multivariable_chain_rule.html