C语言导数

//以E为底的指数函数导数

double exponent (double a ,double x)
{
    double tmp=1;
    double  log_a=log(a);
    for (double i = 0; i < x; i++) tmp*=a;
    return tmp*log_a;
}
//无理数E的指数导数

double Irrational_E(double x)
{
    double e=1;
    for (double i = 0; i < x; i++)
    {
        e*=2.71828;
    }
    return e;
}
//幂函数

double power(double x,double n )
{
    double ret=1;
    for (size_t i = 0; i < n-1; i++)
    {
        ret*=x;
    }
    return n*ret; 
}
//对数函数

double logarithm(double a ,double x)
{
    return 1/(x*log(a));
}

double log_E(double x)
{   
    return 1/x;
}
//正弦函数的导数
double sin_d(double x)
{
    return cos(x);
}
//余弦函数的导数
double cos_d(double x)
{
    return -(sin(x));
}