Differential Calculus

If the first derivative of a function is a constant, then the function is

At the minimum point, the slope of the tangent line is:

If the second derivative of the equation of a curve is equal to the negative of the equation of that same curve, the curve is:

Point of derivatives which do not exist (and so equal to zero) are called ______?

Equations relating x and y that cannot readily be solved explicitly for y as a function of x or for x as a function of y. such equation may nonetheless determine y as a function of x or vice versa, such a function is called:

When the second derivative of the equation of a curve is negative, the curve at that point is concave in what direction

__________ is the concept of finding the derivative of an exponential expression

If all y terms have even exponents, the curve is symmetric with respect to the _______

The integral of any quotient whose numerator is the differential of the denominator is the:

What is the order and degree of the differential equation y’’’ + xy’’ + 2y(y’)2 +xy = 0.

If functions f and g have domains Df and Dg respectively, then the domain of f / g is given by

Let the closed interval [a, b] be the domain of function f. The domain of f(x - 3) is given by

Let the interval (a , +infinity) be the range of function f. The range of f(x) - 4 is given by

A critical number c of a function f is a number in the domain of f such that

If the roots of an equation are zero, then they are classified as

At the minimum point, the slope of the tangent line to a curve is

A curve y = f(x) is concave downward if the value of y’’ is

The point where the concavity of a curve changes is called the

If the 1st derivative of a function is a constant, then its graph is

If at x = a, f’’(a) is positive, then f’(x) increases as x