True or false questions

1. The value of the derivative at a point on a function measures the slope of the tangent to the curve at that point 2. The acceleration function is found by differentiating the displacement function 3. The derivative of a polynomial function is always another polynomial function 4. The power rule only works on integer exponents 5. The sign, positive or negative, of the velocity of an object at a specific time indicates the direction in which the object is moving 6. An object is speeding up when the acceleration of the object is in the opposite direction of it's motion