let h be a differentiable function,and let f be the function defi_英语解答

let h be a differentiable function,and let f be the function defined by f(x)=h(x2-3).
Which of the following is equal to f'(2)?
a.h'(1) b.4h'(2) c.4h'(2) d.h'(4) e.4h'(4)

人气：140 ℃　时间：2020-05-19 20:39:44

解答

应该是4h'(1)
f'(x)=h'(x2-3)*(x2-3)'=2x*h'(x2-3)
带入x=2即可f'(x)=h'(x2-3)*(x2-3)'=2x*h'(x2-3)? 不是(fx*gx)'=f'xgx+fxg'x吗(fx*gx)'=f'xgx+fxg'x这个是两个函数相乘求导呀但是你这个（x2-3)是整体作为变量的呀应该是h[y(x)]=h'[y(x)]*y'(x)这个公式计算的x2是x的平方么？