导数作为一种工具,在解决数学问题时应用极为方便,尤其是利用导数可以求函数的单调性、极值、最值以及曲线的切线.在学习的过程中,概念不清导致导数应用错误的情形时常发生.本文拟对导数应用中常见的误区进行简单剖析.一、对极值的条件理解不清例1函数f(x)=x3+ax2+bx+a2在x=1处 Derivatives as a tool are very convenient for solving mathematical problems, especially the use of derivatives to find the monotony, extremum, and value of the function and the tangent of the curve. In the process of learning, the concept is unclear and leads to the wrong application of the derivative. The situation often occurs. This article intends to briefly analyze the common mistakes in derivative applications. First, the condition of extreme values ​​is not clear. Example 1 Function f(x)=x3+ax2+bx+a2 at x=1