VG2
ordbok
Dictionary: Derivative
The derivative f'(x) shows the instantaneous rate of change of a function — how quickly y changes at a point.
f'(x) = lim[h→0] (f(x+h) - f(x)) / h
In practice we use differentiation rules rather than the definition. The derivative is the slope of the tangent line at the point.
Power rule: (xⁿ)' = n·xⁿ⁻¹
The art of doing mathematics consists in finding that special case which contains all the germs of generality.
— David Hilbert (1862–1943)
Read also
Dictionary: Function
A function is a rule that connects each number x to exactly one number y.…
Dictionary: Prime number
A prime number is a natural number greater than 1 that is only divisible by 1 and itself.…
Dictionary: Slope
The slope shows how steep a straight line is — how much y changes when x increases by 1.…