Geometric meaning of derivative f '(x0) of function y=f (x) at point x0: represents the tangent of function curve at point P0 (x0, f (x0))Slope(The geometric meaning of derivative is the tangent slope of the function curve at this point).
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The derivative f (x) isCalculusAn important pillar of.NewtonandLeibnizThey have made contributions to this.
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If the function y=f (x) is inOpen intervalEvery point in the interval is derivable, so the function f (x) is said to be derivable in the interval.At this time, the function y=f (x) corresponds to a certain derivative value for each determined x value in the interval, which constitutes a new function, called the original function y=f (x)Derivative function, recorded as y ', f' (x), dy/dx or df (x)/dx, referred to as derivative.
