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Desmos comes with many built in functions and symbols. Here are some of the documented and undocumented ones. Most of these can be accessed by opening the keyboard and clicking "functions".
Variables
Input | Result | Explanation | ||||
|---|---|---|---|---|---|---|
theta |
| A variable, like |
Constants
Input | Result | Explanation | |||||
|---|---|---|---|---|---|---|---|
pi |
| The constant 3.14... | |||||
tau |
| The constant 6.28... | |||||
e |
| The constant 2.71... |
Exponent and Log Functions
Input | Result | Explanation | |||||
|---|---|---|---|---|---|---|---|
exp(x) | exp(x) |
| |||||
ln(x) | ln(x) | The natural log of x | |||||
log(x) | log(x) | The log (base 10) of x | |||||
log_n(x) |
| The log (base n) of x | |||||
x^n |
| x to the nth power | |||||
sqrtx |
| The square root of x | |||||
nthrootx |
| The generalized root function. |
Precalculus and Calculus Functions
Input | Result | Explanation | |||||
|---|---|---|---|---|---|---|---|
sum |
| The summation operator | |||||
prod |
| The product operator. | |||||
int |
| The integral operator. | |||||
d/dx |
| The differential operator. Can be used on functions. |
Trig Functions
sin(x) | arcsin(x) or
| sinh(x) | ||||
cos(x) | arccos(x) or
| cosh(x) | ||||
tan(x) | arctan(x) or
| tanh(x) | ||||
sec(x) | arcsec(x) or
| sech(x) | ||||
csc(x) | arccsc(x) or
| csch(x) | ||||
cot(x) | arccot(x) or
| coth(x) |
Stats and Probability Functions
Function | Explanation | ||||
|---|---|---|---|---|---|
total() | Sum of all elements in a list | ||||
length() | Number of elements in a list | ||||
mean() | Mean of a list | ||||
median() | Median element in a list | ||||
min() | Minimum element in a list | ||||
max() | Maximum element in a list | ||||
quantile() | The quantile function | ||||
mad() | Mean absolute deviation | ||||
stdev() | Sample standard deviation | ||||
stdevp() | Population standard deviation | ||||
var() | Variance | ||||
cov() | Covariance | ||||
corr() | Pearson correlation coefficient of two lists | ||||
nCr() | Number of combinations | ||||
nPr() | Number of permutations | ||||
| Factorial |
Miscellaneous Functions
Input | Explanation | ||||
|---|---|---|---|---|---|
lcm(a,b) | The least common multiple of a and b | ||||
gcd(a,b) | The greatest common denominator of a and b | ||||
mod(a, b) | The modulo function | ||||
ceil(x) | The closest integer above x | ||||
floor(x) | The closest integer below x | ||||
round(x) | The closest integer to x | ||||
sign(x) | The sign of x | ||||
abs(x) | The absolute value function | ||||
| The absolute value operator | ||||
a%b | a percent of b |
Making graphs easier to read
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When saving images for reports or projects, it can be useful to have thicker, fuller lines and larger text. To enable this, go to graph settings and enable "Projector Mode".
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