设f(x)可导,且f`(x)=sin^2[sin(x+1)].f(0)=4.求f(x)的反函数当自变量取4时的导数值

问题描述:

设f(x)可导,且f`(x)=sin^2[sin(x+1)].f(0)=4.求f(x)的反函数当自变量取4时的导数值

f`(x)=sin^2[sin(x+1)].f'(0)=sin^2(sin1)f(0)=4f(x)图像过(0,4)点,设在(0,4)点处曲线f(x)的切线l1倾斜角为α,那么tanα=f'(0)f(x)与其反函数g(x)图像关于直线y=x对称那么g(4)=0,设g(x)在(4,0)点处的切线l2倾斜角为...