#include <stdio.h>
#include <conio.h>
#include <math.h>
float poly(float a[], int, float);
float deriv(float a[], int, float);
int main()
{
float x, a[10], y1, dy1;
int deg, i;
printf("Enter the degree of polynomial equation: ");
scanf("%d", °);
printf("Ehter the value of x for which the equation is to be evaluated: ");
scanf("%f", &x);
for (i = 0; i <= deg; i++) {
printf("Enter the coefficient of x to the power %d: ", i);
scanf("%f", &a[i]);
}
y1 = poly(a, deg, x);
dy1 = deriv(a, deg, x);
printf("The value of polynomial equation for the value of x = %.2f is: %.2f", x, y1);
printf("\nThe value of the derivative of the polynomial equation at x = %.2f is: %.2f", x, dy1);
return 0;
}
/* function for finding the value of polynomial at some value of x */
float poly(float a[], int deg, float x)
{
float p;
int i;
p = a[deg];
for (i = deg; i >= 1; i--) {
p = (a[i - 1] + x * p);
}
return p;
}
/* function for finding the derivative at some value of x */
float deriv(float a[], int deg, float x)
{
float d[10], pd = 0, ps;
int i;
for (i = 0; i <= deg; i++) {
ps = pow(x, deg - (i + 1));
d[i] = (deg - i) * a[deg - i] * ps;
pd = pd + d[i];
}
return pd;
}
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