The calculator computes the gradient for the given variables (co-ordinates) defined in the input field.
Input fields for the function and the co-ordinates for the gradient calculation:
|sin(x)||Sine of x|
|cos(x)||Cosine of x|
|tan(x)||Tangent of x|
|acos(x)||arccosine of x|
|atan(x)||arctangent of x|
|atan2(y, x)||Returns the arctangent of the quotient of its arguments.|
|cosh(x)||Hyperbolic cosine of x|
|sinh(x)||Hyperbolic sine of x|
|pow(a, b)||Power ab|
|sqrt(x)||Square root of x|
|log(x), ln(x)||Natural logarithm|
|log(x, b)||Logarithm to base b|
|log2(x), lb(x)||Logarithm to base 2|
|log10(x), ld(x)||Logarithm to base 10|
The gradient is the vector build from the partial derivatives of a n-dimensional function f. For the gradient are the two notations are usual. One is grad(f) and the other is with the Nabla operator ∇.
For the gradient operation apply the following calculation rules.
Here is a list of of further useful calculators:Index Derivative calculus Partial derivatives and gradient Derivative fraction Derivative roots Derivative e-function Derivative sine cosine tangent Derivative sinh cosh tanh Derivative table Gradient 2d Plot Function Plot ODE first order