1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
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![1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程](/uploads/image/z/2761724-20-4.jpg?t=1.y%3Dx%5E3%2Blog2x2.y%3Dx%5En%2Be%5Ex3.y%3D%28x%5E3-1%29%2Fsinx4.y%3D%28x%2B1%29%5E995.y%3D2e%5E%28-x%296.y%3D2xsin%282x%2B5%297.%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3D1-e%5Ex%E7%9A%84%E5%9B%BE%E5%83%8F%E4%B8%8Ex%E8%BD%B4%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9P%2C%E6%B1%82%E6%9B%B2%E7%BA%BF%E5%9C%A8%E7%82%B9P%E5%A4%84%E7%9A%84%E5%88%87%E7%BA%BF%E6%96%B9%E7%A8%8B)
1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
1.y=x^3+log2x
2.y=x^n+e^x
3.y=(x^3-1)/sinx
4.y=(x+1)^99
5.y=2e^(-x)
6.y=2xsin(2x+5)
7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
1.y=x^3+log2x
y`=3x^2+1/2log2(e)
2.y=x^n+e^x
y`=nx^(n-1)+e^x
3.y=(x^3-1)/sinx
y`=[(x^3-1)`sinx-(sinx)`(x^3-1)]/(sinx)^2
=(3x^2sinx-x^3cosx+cosx)/(sinx)^2
4.y=(x+1)^99
设u=x+1 y=u^99
y`=u`*y`=99(x+1)^98
5.y=2e^(-x)
y`=-2e^(-x)
6.y=2xsin(2x+5)
y`=(2x)`sin(2x+5) +2x[sin(2x+5)]`
=2sin(2x+5)+4xcos(2x+5)
7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
f`(x)=-e^x
与x轴交于(0,0)
x=0代入f`(x)=-1
切线方程y=-x