The function f ´( x ), which would be read `` f -prime of x '', means the derivative of f ( x ) with respect to x .
What is f(x) ?
A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).
f(x)=2x-2\s(2,0)
0=2(2)
-2=2 0=2
(-1,-4)
4=2(-1)-2=-4 -4 = -4 f(x)=2(x^2) -2\s(2,0) (2,0)
0=2(2^2)
-2=6 0=6\s(-1,0)
0=2(-1^2)
-2=0 0=0 f(x)=2 √(x-2) (2,0) (2,0)
0=2√(2-2)=0 0=0
The phrase "f (x)" denotes a formula with x serving as its input variable. Not "multiply f and x," though! Never try to "multiply" the function name with its parenthesized input and avoid embarrassing yourself by pronouncing (or thinking of) "f (x)" as being "f times x".