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2022高考全国卷最后一题的解答
by Admin User - Wednesday, 8 June 2022, 12:14 PM
Anyone in the world

已知函数 f(x)=e^x-ax和g(x)=ax- \ln x有相同的最小值。

(1)求a;

(2)证明：存在直线y=b,其余两条曲线y=f(x)和y=g(x)共有三个不同的交点，且从左到右的三个交点的横坐标成等差数列。

The derivative of {\sin \left( \frac{1}{x^2+1} \right)} is

\frac{\mathrm{d}}{\mathrm{d}x} \sin \left( \frac{1}{x^2+1} \right) = {-\frac{2\cdot x\cdot \cos \left( \frac{1}{x^2+1} \right)}{{\left(x^2+1\right)}^2}}

You can input this as <code>-((2*x*cos(1/(x^2+1)))/(x^2+1)^2)</code>

STACK auto-generated plot of x^2 with parameters [[x,-1,1]]


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[ Modified: Monday, 13 June 2022, 11:24 AM ]
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