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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令钢程4563y= e^ x是什么函数,怎么求图像和性质呢? -
虞码何18375493871 ______ y=e^x是指数函数.y等于e的x次方是一种指数函数,其图像是单调递增,x∈R,y>0,与y轴相交于(0,1)点,图像位于X轴上方,第二象限无限接近X轴.在指数函数的定义表达式中,在ax前的系数必须是数1,自变量x必须在指数的位置上,且不...
令钢程4563y=ex分之一的定义域是 -
虞码何18375493871 ______[答案] 若是y=e^(1/x),那么定义域是{x|x≠0}; 若是y=1/(e^x),那么定义域是R
令钢程4563lnx的值域为什么是R?我知道定义域是0到正无穷,举个负数的例子! -
虞码何18375493871 ______[答案] 它是y=e^x的反函数,它的值域就是y=e^x的定义域,也就是R
令钢程4563函数y=e^│x│/x的图像大致是: -
虞码何18375493871 ______[答案] y=f(x)=e^│x│/x定义域x∈R,x≠0f(-x)=e^|-x|/(-x)=-e^|x|/x=-f(x)∴f(x)是奇函数,图像关于原点对称当x>0时,f(x)=e^x/xf'(x)=e^x(x-1)/x∴01,f'(x){...
令钢程4563函数y=e^x+sin(x^2 - 1)/ln(x+3)的定义域是 -
虞码何18375493871 ______[答案] x+3>0,且ln(x+3)≠0 得:x>-3且x≠-2 所以,定义域为(-3,-2)U(-2,+∞)
令钢程4563y=e^ - x的定义域是多少?这是y等于e的负x次方 -
虞码何18375493871 ______[答案] R
令钢程4563y=u^3. u=tanv. v=e^x - 1. 求出它们的定义域 -
虞码何18375493871 ______ 1、v=e^x-1 定义域 x ∈ R2、u=tanv,定义域{v|v≠kπ+π/2} k∈Z,e^x-1≠kπ+π/2,e^x≠kπ+π/2+1,x≠ln(kπ+π/2+1) k∈Z3、y=u³,u∈ R,定义域 x≠ln(kπ+π/2+1) k∈Z
令钢程4563函数y=e^x - 1的反函数是 反函数的定义域是 -
虞码何18375493871 ______[答案] y+1=e^x log以e为底y+1的对数=x 也就是y=log以e为底x+1的对数是反函数. 定义域是(-1,+穷)
令钢程4563函数y=根号e^x - 1的定义域是, -
虞码何18375493871 ______[答案] y=√(e^x-1) 函数有意义,需 e^x-1≥0 即e^x≥1=e^0 ∴x≥0 函数定义域为[0,+∞)