Texas Instruments TI89 Developer Guide - Page 852
push_1st_derivative, are simplified to deepest variable.
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810 Appendix A: System Routines - Math push_nth_derivative Declaration: void push_nth_derivative (EStackIndex i, EStackIndex j, EStackIndex n) Category(ies): Math Description: If n is zero, pushes expression i. Pushes the (perhaps iterated) antiderivative of i with respect to j if n is negative. Otherwise pushes the nth derivative of expression i with respect to expression 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, L1) | x = 3 -> 9/2. Inputs: i - Indexes the top tag of an internally-simplified algebraic expression, algebraic comparison, or aggregate thereof. j - Indexes the top tag of a variable. n - Indexes the top tag of a whole number or an expression that can have only whole number values, such as @n7. Outputs: None Assumptions: None Side Effects: None Availability: On AMS 2.02 and higher. TI-89 / TI-92 Plus Differences: None See Also: push_1st_derivative Example: push_quantum_as_nonnegative_int (3u); exponent = top_estack; push_quantum (8u); /* Push variable x */ replace_top2_with_pow (exponent); i = top_estack; /* i -> x^3 */ push_quantum_as_nonnegative_int (2u); n = top_estack; push_quantum (8u); /* Push variable x */ push_nth_derivative (i, top_estack, n); /* Pushes 3 * x^2 */ TI-89 / TI-92 Plus Developer Guide Not for Distribution Beta Version January 26, 2001
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