Derivative
A function which gives the slope
of a curve; that is, the slope of
the line
tangent to a function.
The derivative of a function f at
a point x is commonly written f
'(x).
For example, if f(x) = x^{3} then f '(x)
= 3x^{2}.
The slope of the tangent line when x = 5 is f '(x)
= 3·5^{2} = 75.
See
also
Difference quotient, limit, derivative
rules, differentiable, differentiation,
continuously differentiable
