Push_1St_Derivative - Texas Instruments TI-89 Developer's Manual

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push_1st_derivative

Declaration: void push_1st_derivative (EStackIndex i , EStackIndex j )
Category(ies): Math
Description: Pushes onto the estack the first derivative of the expression indexed by i
with respect to the variable indexed by j .
If invoked via push_internal_simplify, j and i are simplified to deepest
variable. However, if the deepest variable value of j has a such-that or
§ value, that value is substituted for the deepest variable value after
computing the symbolic derivative.
For example, d(x^2, x) | x = 3 -> 6.
Inputs: i
j
Outputs: None
None
Assumptions:
Side Effects: None
Availability: On AMS 2.02 and higher.
TI-89 / TI-92 Plus
Differences: None
See Also: push_nth_derivative
Example:
void push_grad_tail (EStackIndex i, EStackIndex vars)
/* i indexes an algebraic expression.
vars indexes a tail of variables.
Pushes the rectangular Cartesian gradient tail of i with respect to vars.
*/
{ if (END_TAG == ESTACK (vars))
push_quantum (END_TAG);
else
{ push_grad_tail (i, next_expression_index (vars));
push_1st_derivative (i, vars);
}
}
TI-89 / TI-92 Plus Developer Guide
— Indexes the top tag of an internally-simplified algebraic expression,
comparison, or aggregate thereof.
— Indexes the top tag of a variable.
Not for Distribution
Appendix A: System Routines — Math
Beta Version January 26, 2001