Functions Involving Parameters, Vectors, and Matrices

Two or more values

Infinitely many values

Zero values

Exactly one value

Identity Property of Addition.

Zero Product Property.

Identity Property of Multiplication.

Inverse Property of Addition.

Jump Discontinuity

Point Discontinuity

Infinite discontinuity

Removable Discontinuity

Inverse Property of Addition.

Transitive Property of Equality

Symmetric Property of Equations

Identity Property Of Addition

Chain rule

Product rule

Power rule

Quotient rule

Oscillating discontinuity

Removable discontinuity

Jump discontinuity

Infinite discontinuity

115 degrees

25 degrees

90 degrees

155 degrees

$q'(x)=-ax^2+(b+2a)x+c$

$q'(x)=-(ax-b)x+c$

$q'(x)=-(ax^2+bx+c)+(2a)x$

$q'(x)=ax^2+(b+2a)x+c$

The derivative of y with respect to y, times x

The integral of xy with respect to x

The derivative of y with respect to x, times x

The product of the variables x and y

$\frac{dy}{dx} = \frac{y^3 - 3x^2}{6xy}$

$\frac{dy}{dx} = \frac{2y - x^2}{y^2 - 2x}$

$\frac{dy}{dx} = \frac{3y^2 - 3x^2}{6y}$

$\frac{dy}{dx} = \frac{3y^2 - x^2}{y^2}$