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Gradient (a, y): It gives the gradient vector of the function defined in the input argument with respect to the vector mentioned in y. We can also use the gradient function if the input argument is a function. To calculate the gradient of the function ae^a2−b2 and plot the contour lines If we want to use gradient function multiple times then instead of calling it many times, we can use “diff” function. X represents gradient in the second dimension which is columns, Y represents the gradient in the first dimension which is the rows and the rest of the outputs follow in the same directions. The output arguments which are returned by the gradient function have the same nature as that of input arguments used and are known as Numerical Gradients.It also supports the use of complex numbers. The data types that are accepted are single and double in nature. If the input is the vector in nature, then it represents the coordinates with the respective dimension and vector’s length should always match the dimension size which is used. If the input is scalar in nature, then it means the spacing used between the points is constant in the respective dimension.The number of input arguments that we specify while declaring the function, it should always match the dimension of the array used. “hb,” hc”,” hd” denote the unique spacing between the points in each direction and they can be scalar or vector in nature. It also supports the use of complex numbers in Matlab. The data types that can be handled by the function are single, double.“h” in the syntax is used to define the spacing between the points in the respective directions which is uniform in nature and it is denoted as a scalar quantity. The input arguments used in the function can be vector, matrix or a multidimensional array and the data types that can be handled by the function are single, double. In the above example, the function calculates the gradient of the given numbers.= gradient (a, hb, hc, hd, he….hn): This syntax returns n number of spacing points in every dimension as given in a.īelow are the examples for Matlab Gradient Example #1.= gradient (a, h): This syntax returns the gradient with the number of spacing points mentioned in the input argument ‘h’ which can be used in any direction.=gradient(a): This syntax returns the numerical gradient of the number of components present in the input array.Here X and Y are the outputs that are in the form of first derivatives da/dx and da/dy where the difference lies in the x and y direction respectively. = gradient: This function returns two-dimensional gradients which are numerical in nature with respect to vector ‘a’ as the input.Here X is the output which is in the form of first derivative da/dx where the difference lies in the x-direction. X= gradient: This function returns a one-dimensional gradient which is numerical in nature with respect to vector ‘a’ as the input.Hadoop, Data Science, Statistics & others