public void DerivativeTest2()
{
IExpression exp = new Arccos(new Mul(new Number(2), new Variable("x")));
IExpression deriv = exp.Differentiate();
Assert.AreEqual("-((2 * 1) / sqrt(1 - ((2 * x) ^ 2)))", deriv.ToString());
}
public void DerivativeTest1()
{
IExpression exp = new Arccos(new Variable("x"));
IExpression deriv = exp.Differentiate();
Assert.AreEqual("-(1 / sqrt(1 - (x ^ 2)))", deriv.ToString());
}
public void DerivativeTest3()
{
// arccos(2x)
Number num = new Number(2);
Variable x = new Variable("x");
Mul mul = new Mul(num, x);
IExpression exp = new Arccos(mul);
IExpression deriv = exp.Differentiate();
Assert.AreEqual("-((2 * 1) / sqrt(1 - ((2 * x) ^ 2)))", deriv.ToString());
num.Value = 6;
Assert.AreEqual("arccos(6 * x)", exp.ToString());
Assert.AreEqual("-((2 * 1) / sqrt(1 - ((2 * x) ^ 2)))", deriv.ToString());
}
public void PartialDerivativeTest3()
{
IExpression exp = new Arccos(new Variable("x"));
IExpression deriv = exp.Differentiate(new Variable("y"));
Assert.AreEqual("0", deriv.ToString());
}
public void PartialDerivativeTest2()
{
IExpression exp = new Arccos(new Mul(new Variable("x"), new Variable("y")));
IExpression deriv = exp.Differentiate(new Variable("y"));
Assert.AreEqual("-((x * 1) / sqrt(1 - ((x * y) ^ 2)))", deriv.ToString());
}
