![How to Derive and Calculate the Differential of a Function How to Derive and Calculate the Differential of a Function](https://easy-peasy.ai/cdn-cgi/image/quality=80,format=auto,width=700/https://fdczvxmwwjwpwbeeqcth.supabase.co/storage/v1/object/public/images/9d3bf25f-45ec-4dd2-9172-9c81a90c81f9/f4013955-0224-426c-9bfc-d615ad6d8edc.png)
Deriving and Calculating the Differential of a Function
Prompt
Render an illustration of a blackboard with the detailed explanation of calculating the differential of function y = x/a + a/x, starting with deriving it with respect to x and then multiplying by dx. The equation shown is: 'y = x/a + a/x'. The derivative with respect to x is shown as: 'dy/dx = 1/a - a/x^2'. And finally, the differential of the given function appears as: 'dy = (1/a - a/x^2)dx'.
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