导数五步法画函数图像10个函数示意图应用举例之一
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1.函数y=(12x2+9)(4x2+14)的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质及五点图表，并通过导数知识计算函数的单调和凸凹区间，简要画出示意图。
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2.函数y=(19x2+5)√(4x2+9)的主要性质及其图像：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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3.函数y=4√(x+80)^7图像画法及步骤：本文通过函数的定义、单调、凸凹性和极限等性质，介绍函数的主要性质及图像画法步骤。
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4.曲线x³+y³=2的主要性质及其图像示意图：介绍曲线方程的定义域、单调性、凸凹性等性质，同时用导数的知识求解函数的单调区间和凸凹区间，并简洁画出函数的图像示意图。
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5.√(x+4)+√(3y+5)=2的图像示意图：介绍曲线方程的定义域、单调性、凸凹性及极限等性质，同时用导数简洁画出函数的图像示意图。
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6.函数y=16x3+8x的图像示意图及主要性质：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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7.函数y=√(20x-87)^5图像画法及步骤：通过函数的定义、单调、凸凹和极限等性质， 并通过导数知识，介绍函数的主要性质及图像示意图画法步骤。
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8.函数y=log2(-2x+3)的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，简要画出函数的示意图。
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9.函数y=e^x(3x+4)的图像示意图：本文通过函数的定义、单调、凸凹性和极限等性质，介绍函数的主要性质及图像画法步骤。
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10.函数y=2^4x的图像示意图：介绍函数的定义域、单调性、凸凹性、极限等性质，列举函数的五点图表，进一步画出函数的示意图。
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邱空有3771y=xe^x+1的导数为什么会是y'=e^x+xe^x,还有y=xe^ - x的导数是怎么求的呢. -
秋泡功13456881176 ______[答案] y'=(xe^x)'+(1)=(x)'*e^x+x*(e^x)'+0=e^x+xe^x xe^x 这个不是 两个函数 搞一起了吗 套公式 Ok 了 打错了吧?y=xe^-x 这个是什么? 如果是这个的话 ← y'=xe^x-x=e^x+xe^x-1 很简单的啊
邱空有3771紧急!(1+a/x)e^x求导(1+a/x)e^x怎么求导? -
秋泡功13456881176 ______[答案] 导数=(1+a/x)'*e^x+(1+a/x)*(e^x)' =(0-a/x²)e^x+(1+a/x)*e^x =(1+a/x-a/x²)e^x
邱空有3771求xy=e的(x+y)次方的导数.要详解. -
秋泡功13456881176 ______[答案] xy=e^(x+y) 所以两边对x求导数得到 y+xy'=e^(x+y) * (1+y') 所以y'=[e^(x+y)-y]/[x-e^(x+y)]
邱空有3771(e^x+1)^( - 1)求导 -
秋泡功13456881176 ______[答案] -(e^x)/[(e^x+1)^2]
邱空有3771e的x次方分之一 的导数 我算的是负的e的x次方分之一请看好了!是(e的x次方)分之一 的导数,不是e的(x分之一)次方 -
秋泡功13456881176 ______[答案] 对 我算的也是这个 这是复合函数求导问题 对外层函数求导结果是 —1/e^2x 对内层求导结果是e^x 二者相乘结果就是楼主的答案
邱空有3771y=(e^x+e^ - x)/2的导数怎么求急啊! -
秋泡功13456881176 ______[答案] e^x的导数是他自己,即e^x,e^-x的导数为-e^-x,所以=(e^x+e^-x)/2的导数y'==(e^x-e^-x)/2
邱空有3771导数f(x)=x(e^x - 1) - 1/2 x^2求出的导数是f'(x)=e^x - 1+xe^x - x=(e^x - 1)(x+1)还有,带e的导数是怎么回事? -
秋泡功13456881176 ______[答案] f(x)=x(e^x -1)-1/2 x^2=xe^x -x-1/2 x^2 f'(x)=x'e^x-x(e^x)'-1-x=e^x-xe^x-1-x xe^x是一个复合函数求导,根据(AB)'=A'B+AB'公式求就可以了,e^x的导数就是它本身,1/2 x^2和x求导利用(x^n)'=nx^(n-1)求.
邱空有3771数学 - e^ - x+1 的导数是什么,怎么算 -
秋泡功13456881176 ______ y=-e^(-x+1), 利用复合函数的链式求导法则:y'=-e^(-x+1)*(-x+1)'=e^(-x+1)
邱空有3771用导数证明e的x次幂大于1加x,x不等于零. -
秋泡功13456881176 ______[答案] 要证明e^x>1+x 也就是要证明e^x-1-x>0 然后对e^x-1-x求导就是e^x-1 然后当x>0的时候e^x-1是恒大于0的,那么e^x-1-x是递增的,当x=0时,e^x-1-x=0,所以在x>0的时候e^x-1-x>0恒成立 同时当x0对于不同的x都是恒成立的 所以e^x>1+x
邱空有37714/ex+1的导数,就是4除以e的x次方加1的导数,请写明过程, -
秋泡功13456881176 ______[答案] 上式=4乘以e的负X方加1.e的负X方加1的导数为负的e的负X方.故上式答案为负4的e的负x方