Topmusicanswers
One type of notation for derivatives is sometimes called prime notation. The function f ´( x ), which would be read `` f -prime of x '', means the derivative of f ( x ) with respect to x . If we say y = f ( x ), then y ´ (read `` y -prime'') = f ´( x ).
What does F prime mean on a graph?
The second derivative of f is the derivative of y′=f′(x). Using prime notation, this is f″(x) or y″. ... This is read aloud as "the second derivative of y (or f)." If f″(x) is positive on an interval, the graph of y=f(x) is concave up on that interval. We can say that f is increasing (or decreasing) at an increasing rate.
What exactly is derivative?
Derivative, in mathematics, the rate of change of a function with respect to a variable. ... Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function or, more precisely, as the slope of the tangent line at a point.
What does F in calculus mean?
A function f(x) is called differentiable at x=a if f′(a) exists and f(x) is called differentiable on an interval if the derivative exists for each point in that interval.
