Find the inflection points,if any,of the following function.Otherwise,answer no solution?
题目
Find the inflection points,if any,of the following function.Otherwise,answer no solution?
f(x) = x^4 - 2x^3 +5
f(x) = 2/(1+x^2)
答案
f'(x) = 4x³ - 6x² f"(x) = 12x² - 12x = 12x(x - 1) = 0x = 0 or x = 1x < 0,f"(x) > 00 < x < 1,f"(x) < 0f(0) = 5,(0,5) is one inflection pointx {%...
举一反三
已知函数f(x)=x,g(x)=alnx,a∈R.若曲线y=f(x)与曲线y=g(x)相交,且在交点处有相同的切线,求a的值和该切线方程.
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