DERIV

DERIV x, maxtries, maxerr, BYREF result, BYREF errcode USE expr

Calculation of derivative.

x: value of x
maxtries: maximum number of retries
maxerr: tolerance
errcode: 0 for success; otherwise calculation error
result: the result
expr: the function f(x)

Example 1

' What is the derivative of f(x) for a given x

def f(x) = 2*x^2+2

x = 3
result = 0
errcode = 0

deriv x, 10, 0.01, result, errcode USE f(x)


def d(x) = 4*x ' Exact derivative of f(x) for comparision

print "Result of DERIV  at x = "; x; " : "; result
print "Exact derivative at x = "; x; " : "; d(x)

Example 2

' What is the derivative of f(x) for a given x

def f(x) = x^3 + 2 * exp(2*x)

x = 3
result = 0
errcode = 0

deriv x, 10, 0.000001, result, errcode USE f(x)


def d(x) = 3*x^2 + 4*exp(2*x) ' Exact derivative of f(x) for comparision

print "Result of DERIV  at x = "; x; " : "; result
print "Exact derivative at x = "; x; " : "; d(x)

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ABS ABSMAX ABSMIN ACOS ACOSH ACOT ACOTH ACSC ACSCH ASEC ASECH ASIN ASINH ATAN ATAN2 ATANH ATN CEIL COS COSH COT COTH CSC CSCH DEG DERIV DETERM DIFFEQN EXP EXPRSEQ FIX FLOOR FRAC INT INTERSECT INVERSE LINEQN LOG LOG10 M3APPLY M3IDENT M3ROTATE M3SCALE M3TRANS MAX MIN POLYAREA POLYCENT POLYEXT POW PTDISTLN PTDISTSEG PTSIGN RAD RND ROOT ROUND SEC SECH SEGCOS SEGLEN SEGSIN SEQ SGN SIN SINH SQR STATMEAN STATMEANDEV STATMEDIAN STATSPREADP STATSPREADS STATSTD SUM SUMSQ TAN TANH

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DERIV

Example 1

Example 2