Mister Exam

Lang:

How to use it?
Plot:
(x^2+y^2-1)^3-x^2*y^3=0
x^2*e^-x=y
3x^2+5y^2+2z^2=25
x*y-x+y+(-x+y)^3/3-3/10=0
Canonical form:
x^2-8xy-8y^2=0
2x^2+2y^2+2yz+2z^2-1=0
11x^2+24xy+4y^2+42x+64y+51=0
y^2+8*z^2=64
Identical expressions
x*y-x+y+(-x+y)^ three / three - three / ten = zero
x multiply by y minus x plus y plus ( minus x plus y) cubed divide by 3 minus 3 divide by 10 equally 0
x multiply by y minus x plus y plus ( minus x plus y) to the power of three divide by three minus three divide by ten equally zero
x*y-x+y+(-x+y)3/3-3/10=0
x*y-x+y+-x+y3/3-3/10=0
x*y-x+y+(-x+y)³/3-3/10=0
x*y-x+y+(-x+y) to the power of 3/3-3/10=0
xy-x+y+(-x+y)^3/3-3/10=0
xy-x+y+(-x+y)3/3-3/10=0
xy-x+y+-x+y3/3-3/10=0
xy-x+y+-x+y^3/3-3/10=0
x*y-x+y+(-x+y)^3/3-3/10=O
x*y-x+y+(-x+y)^3 divide by 3-3 divide by 10=0
Similar expressions
x*y-x+y-(-x+y)^3/3-3/10=0
x*y-x+y+(-x-y)^3/3-3/10=0
x*y-x+y+(x+y)^3/3-3/10=0
x*y-x+y+(-x+y)^3/3+3/10=0
x*y-x-y+(-x+y)^3/3-3/10=0
x*y+x+y+(-x+y)^3/3-3/10=0
What you mean?
x*y - x + y + (-x + y)^3/3 - 3/10 = 0
x*y - x + y + (-x + y)^1 - 3/10 = 0
x*y - x + y + (-x + y)^(1 - 3)/10 = 0
x*y - x + y + (-x + y)^(3/(3 - 3))/10 = 0
x*y - x + y + (-x + y)^(3/(3 - 3))/10 = 0

You entered:

x*y-x+y+(-x+y)^3/3-3/10=0

x*y - x + y + (-x + y)^3/3 - 3/10 = 0

x*y - x + y + (-x + y)^1 - 3/10 = 0

x*y - x + y + (-x + y)^(1 - 3)/10 = 0

x*y - x + y + (-x + y)^(3/(3 - 3))/10 = 0

x*y - x + y + (-x + y)^(3/(3 - 3))/10 = 0

Plot x*y-x+y+(-x+y)^3/3-3/10=0

You have entered [src]

                      3         
              (-x + y)    3     
x*y - x + y + --------- - -- = 0
                  3       10

$$\left(\frac{\left(- x + y\right)^{3}}{3} + \left(y + \left(x y - x\right)\right)\right) - \frac{3}{10} = 0$$

Find derivative

The graph of the function

The graph

(x^2 + y^2)^2 + 18*(x^2 + y^2) = 8*x^3 - 24*y^2*x + 27

(x^2 + y^2)^2 - 2*(x^2 - y^2) + 1 = (3 / 5)^4

(x^2 + y^2)^2 - 2*(x^2 - y^2) + 1 = (4 / 5)^4

(x^2 + y^2)^2 - 2*(x^2 - y^2) + 1 = (6 / 5)^4

(x^2 + y^2)^2 - 2*(x^2 - y^2) + 1 = (7 / 5)^4

(x^2 + y^2)^2 - 2*(x^2 - y^2) + 1 = (8 / 5)^4

2*y^2*(x^2 + y^2) - 10*y^2*(x + y) - 2*y^2 - 9*x^2 + 90*(x + y) - 144 = 0

(y^2 - x^2)*(x - 1)*(2*x - 3) = 4*(x^2 + y^2 - 2*x)

y^2 = x*(81*x^5 + 396*x^4 + 738*x^3 + 660*x^2 + 269*x + 48)

144*(x^4 + y^4) - 225*(x^2 + y^2) + 350*x^2*y^2 + 81 = 0

(x^2 + y^2)^2 + 8*x*(x^2 + y^2) - 16*y^2 = 0

x + sqrt(1 - y^2) = ln([1 + sqrt(1 - y^2)]/y)/2

x + sqrt(1 - y^2) = 3*ln([1 + sqrt(1 - y^2)]/y)/2

x = abs(ln([1 + sqrt(1 - y^2)]/y) - sqrt(1 - y^2))

(2*x^2 + y^2)^2 - 2*sqrt(2)*x*(2*x^2 - 3*y^2) + 2*(y^2 - x^2) = 0

x^3 + x*y^2 - x^2 + y^2 = y*(x^2 + y^2 - 2*x)

-243 - 216*z - 18*x + 4*y^2 + 25*x^2 + 36*z^2 + 16*x*y = 0

x^2+4*y^2+9*z^2+4*x*y+12*y*z+6*x*z-4*x-8*y-12*z+3=0

The above examples also contain:

the modulus or absolute value: absolute(x) or |x|
square roots sqrt(x),
cubic roots cbrt(x)
trigonometric functions:
sinus sin(x), cosine cos(x), tangent tan(x), cotangent ctan(x)
exponential functions and exponents exp(x)
inverse trigonometric functions:
arcsine asin(x), arccosine acos(x), arctangent atan(x), arccotangent acot(x)
natural logarithms ln(x),
decimal logarithms log(x)
hyperbolic functions:
hyperbolic sine sh(x), hyperbolic cosine ch(x), hyperbolic tangent and cotangent tanh(x), ctanh(x)
inverse hyperbolic functions:
hyperbolic arcsine asinh(x), hyperbolic arccosinus acosh(x), hyperbolic arctangent atanh(x), hyperbolic arccotangent acoth(x)
other trigonometry and hyperbolic functions:
secant sec(x), cosecant csc(x), arcsecant asec(x), arccosecant acsc(x), hyperbolic secant sech(x), hyperbolic cosecant csch(x), hyperbolic arcsecant asech(x), hyperbolic arccosecant acsch(x)
rounding functions:
round down floor(x), round up ceiling(x)
the sign of a number:
sign(x)
for probability theory:
the error function erf(x) (integral of probability), Laplace function laplace(x)
Factorial of x:
x! or factorial(x)
Gamma function gamma(x)
Lambert's function LambertW(x)
Trigonometric integrals: Si(x), Ci(x), Shi(x), Chi(x)

The following operations can be performed