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Expressions
Constant
Circumferential rate pi is defined. pi=3.1415926. You can input pi directly in your expression, for example, 2pi*sin(x).
Variables
The Form Of Your Function |
Variable(s) |
The Form Of Your Function |
Variable(s) |
| y=f(x) |
x |
y=f(x,t) |
x,t |
| x=f1(u), y=f2(u) |
u |
x=f1(u,t), y=f2(u,t) |
u,t |
| f(x,y)=0 |
x,y |
f(x,y,t)=0 |
x,y,t |
| f(x,y)<0 |
x,y |
f(x,y,t)<0 |
x,y,t |
| r=f(a) |
a |
r=f(a,t) |
a,t |
| a=f1(u), r=f2(u) |
u |
a=f1(u,t), r=f2(u,t) |
u,t |
| f(a,r)=0 |
a,r |
f(a,r,t)=0 |
a,r,t |
| f(a,r)<0 |
a,r |
f(a,r,t)<0 |
a,r,t |
| z=f(x,y) |
x,y |
z=f(x,y,t) |
x,y,t |
| x=f1(u,v), y=f2(u,v), z=f3(u,v) |
u,v |
x=f1(u,v,t), y=f2(u,v,t), z=f3(u,v,t) |
u,v,t |
| z=f(a,r) |
a,r |
z=f(a,r,t) |
a,r,t |
| a=f1(u,v), r=f2(u,v), z=f3(u,v) |
u,v |
a=f1(u,v,t), r=f2(u,v,t), z=f3(u,v,t) |
u,v,t |
| r=f(a,b) |
a,b |
r=f(a,b,t) |
a,b,t |
| a=f1(u,v), b=f2(u,v), r=f3(u,v) |
u,v |
a=f1(u,v,t), b=f2(u,v,t), r=f3(u,v,t) |
u,v,t |
Operations
Function Grapher recognizes the following arithmetic operations:
"+" - addition
"-" - subtraction
"*" - multiplication
"/" - division
"^" - exponentiation
Example: 2^3+3*1-8/4=9
Functions
Function Grapher allows to use the following functions:
Function |
Note |
Formula |
| abs |
Absolute value |
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| atn |
Inverse tangent |
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| cos |
Cosine |
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| exp |
Exponent (exp(x) - e raised to the power x) |
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| int |
Rounds number to the closest integer |
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| log |
Natural logarithm |
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| rnd |
Random number |
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| sin |
Sine |
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| sqr |
Square root |
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| tan |
Tangent |
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| sec |
Secant |
Sec(X)=1/Cos(X) |
| csec |
Cosecant |
Cosec(X)=1/Sin(X) |
| ctan |
Cotangent |
Cotan(X)=1/Tan(X) |
| asin |
Inverse sine |
Arcsin(X)=Atn(X/Sqr(-X*X+1)) |
| acos |
Inverse cosine |
Arccos(X)=Atn(-X/Sqr(-X*X+1))+2*Atn(1) |
| asec |
Inverse secant |
Arcsec(X)=Atn(X/Sqr(X*X-1))+Sgn((X)-1)*(2*Atn(1)) |
| acsec |
Inverse cosecant |
Arccosec(X)=Atn(X/Sqr(X*X-1))+(Sgn(X)-1)*(2*Atn(1)) |
| actan |
Inverse tangent |
Arccotan(X)=Atn(X)+2*Atn(1) |
| sinh |
Hyperbolic Sine |
HSin(X)=(Exp(X)-Exp(-X))/2 |
| cosh |
Hyperbolic Cosine |
HCos(X)=(Exp(X)+Exp(-X))/2 |
| tanh |
Hyperbolic Tangent |
HTan(X)=(Exp(X)-Exp(-X))/(Exp(X)+Exp(-X)) |
| ctanh |
Hyperbolic Cotangent |
HCotan(X)=(Exp(X)+Exp(-X))/(Exp(X)-Exp(-X)) |
| sech |
Hyperbolic Secant |
HSec(X)=2/(Exp(X)+Exp(-X)) |
| csech |
Hyperbolic Cosecant |
HCosec(X)=2/(Exp(X)-Exp(-X)) |
| asinh |
Inverse Hyperbolic Sine |
HArcsin(X)=Log(X+Sqr(X*X+1)) |
| acosh |
Inverse Hyperbolic Cosine |
HArccos(X)=Log(X+Sqr(X*X-1)) |
| atanh |
Inverse Hyperbolic Tangent |
HArctan(X)=Log((1+X)/(1-X))/2 |
| asech |
Inverse Hyperbolic Secant |
HArcsec(X)=Log((Sqr(-X*X+1)+1)/X) |
| acsech |
Inverse Hyperbolic Cosecant |
HArccosec(X)=Log((Sgn(X)*Sqr(X*X+1)+1)/X) |
| actanh |
Inverse Hyperbolic Cotangent |
HArccotan(X)=Log((X+1)/(X-1))/2 |
Syntax
Wrong |
Right |
| sinx+logy |
sin(x)+log(y) |
| xy |
x*y |
| pitan(x) |
pi*tan(x) |
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2pi(1+sin(2x)) |
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2*pi*(1+sin(2*x)) |
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sin(x)x |
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sin(x)3 |
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sin(x)cos(x) |
Priority Of Operations And Functions
The priority of operations in Function Grapher is:
- Functions
- ^
- negative(-)
- *,/
- +,-
Functions have the largest priority; "+", "-" - the smallest. You can use parentheses to group operations with lower precedence to be calculated before operations with higher precedence.
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