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在高中数学中,导数的几何意义是从“形”的角度对导数本质的定性解释,它在解决某些函数问题时能起到重要作用.本文将从以下两个角度探究导数几何意义的应用.一、导数几何意义的应用导数f′(x_0)从代数上表示函数f(x)在x=x_0处的瞬时变化率,其几何意义是曲线y=f(x)在点(x_0,f(x_0))处切线的斜率.因此,我们可以利用导数求切线的斜率,也可将导数转化为切线的斜率.
In high school mathematics, the geometric meaning of the derivative is a qualitative explanation of the nature of the derivative from the perspective of “shape ”, which plays an important role in solving some function problems.This paper will explore the geometric meaning of the derivative from the following two angles (X_0) represents the instantaneous rate of change of the function f (x) at x = x_0 algebraically, the geometric mean of which is the curve y = f (x) at the point , f (x_0)), so we can use the derivative to find the slope of the tangent, or to convert the derivative to the slope of the tangent.