I have used Code::blocks 12 compiler for debugging purpose. But you can use any C programming language compiler as per your availability

#include <stdio.h>
#define MAX_SIZE 100
 
// Function declarations
int Findmaxnumber(int array[], int index, int len);
int Findminnumber(int array[], int index, int len);
 
 
int main()
{
    int array[MAX_SIZE], Num, max, min;
    int i;
 
    // Inputting size and elements of array
    printf("Enter size of the array: ");
    scanf("%d", &Num);
    printf("Enter %d elements in array: ", Num);
    for(i=0; i<Num; i++)
    {
        scanf("%d", &array[i]);
    }
 
    max = Findmaxnumber(array, 0, Num);
    min = Findminnumber(array, 0, Num);
 
    printf("Minimum element in array: %d\n", min);
    printf("Maximum element in array: %d\n", max);
 
    return 0;
}
 
 
 //Recursive function to find maximum element in the given array.
int Findmaxnumber(int array[], int index, int len)
{
    int max;
    if(index >= len-2)
    {
        if(array[index] > array[index + 1])
            return array[index];
        else
            return array[index + 1];
    }
 
    max = Findmaxnumber(array, index + 1, len);
 
    if(array[index] > max)
        return array[index];
    else
        return max;
}
 
//Recursive function to find minimum element in the array
int Findminnumber(int array[], int index, int len)
{
    int min;
 
    if(index >= len-2)
    {
        if(array[index] < array[index + 1])
            return array[index];
        else
            return array[index + 1];
    }
 
    min = Findminnumber(array, index + 1, len);
 
    if(array[index] < min)
        return array[index];
    else
        return min;
}

Result:

Enter size of the array: 5

Enter 5 elements in array: 1

2

-5

6

7

Minimum element in array: -5

Maximum element in array: 7