How would you check your answer using a Ti86 for implicit diferentiation problems?(adsbygoogle = window.adsbygoogle || []).push({});

I was looking through some source code at ticalc.org and found this tidbit for an implict differentiation section:

(after given a point x and y, with function F1)

If der1(F1,y)==0

[exit]

else

(-der1(F1,x))/(der1(F1,y)) --> M

-M*x+y --> B

and it then displayed the slope M and the constant B as the tan line.

So, to check an answer, could I set y to some value, find x, and then treat the function as one variable and find the slope at point (x,y) by taking the derivativee of x with y equal to whatever set value and derivative of y with whatever x was found to be, in the equation -der(F1,x)/(der(f1,y) ? Does this make sense?

Also, shouldn't there be a way to use the point with the derivative i compute to check it's validity?

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# Checking implicit differentiation answers?

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