Any function in which the dependent variable is not exactly proportional to the zeroth or first power of the independent variable. E.g.: y(x) = a*(x+x^3); y(x) = a*exp(x); y(x) = a*sin(x); etc.
This may be extended to differential equations by stating a nonlinear differential equation is one in which some function depends on a derivative which is not to the zeroth or first power. An example is: dy/dx - (y(x))^2 = a.
Note, all of the values for "a" in these examples are meant to be constants.
linear
linear, if side is x then perimeter is 4x
If you mean y = x2, then yes, it is nonlinear.
y=x2 and y=lnx are two examples of nonlinear equations.
Nonlinear scaling is a scaling where the difference between each major unit of measure is not the same. For example, see logarithmic scale.
Here is a simple example of a nonlinear function. Y = X2 =====Build on that!
linear
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
Maybe possibly a piece-wise function...
No it is not.
Differentials can be used to approximate a nonlinear function as a linear function. They can be used as a "factory" to quickly find partial derivatives. They can be used to test if a function is smooth.
a roller coaster. It doesnt have a constaant rate of change
To be linear, there should only be constants, and variables with constant coefficients. No powers of variables, or numbers raised to the power of a variable, or any other nonlinear function such as log, ln, sin, cos, tan, cosh, etc.
linear, if side is x then perimeter is 4x
A scale that is nonlinear. ~
o function is given. However, if linear , then the rate of change is the same as the steepness of the graph line.
what is nonlinear?can anybody give me this answer.