properties of a numerical function

Properties of a numerical function : How to use it?

This calculator lets you study a function using the following algebraic calculation tools: derivative, antiderivative, is_odd_or_even_function, equation_tangent_line, discriminant, degree, valuation.

Syntax :

study_function(function)

Examples :

study_function(x^2+x-3)
study_function(sin(x))

Study numerical functions of one real variable

This calculator enables you to quickly obtain the properties of numerical functions. It provides a table of values containing numerous characteristics of the function under study.

This calculator is designed to help you study numerical functions of a real variable, quickly obtaining the properties of the function under study. For example, to obtain the properties of the sine function, simply enter sin(x) and validate to obtain its derivative, a primitive, whether it is even or odd, and the equation of its tangent at 0.

Here is an example of use with the polynomial x^2+x-3

derivative(x^2+x-3;x)	2*x+1	1+2*x
antiderivative(x^2+x-3;x)	$(x^3)/3+(x^2)/2-3*x$	$(x^2)/2+(x^3)/3-3*x$
is_odd_or_even_function(x^2+x-3)	-1
equation_tangent_line(x^2+x-3)	y=-3+x	[y=-3+x]
discriminant(x^2+x-3;x)	13
degree(x^2+x-3)	2
valuation(x^2+x-3)	0

array_values(x^2+x-3)
limit(x^2+x-3)
integral(x^2+x-3)

Here is an example of use with the function sin(x)

derivative(sin(x);x)	cos(x)
antiderivative(sin(x);x)	-cos(x)
is_odd_or_even_function(sin(x))	1
equation_tangent_line(sin(x))	y=x	[y=x]

array_values(sin(x))
limit(sin(x))
integral(sin(x))