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)

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lethbeadifferentiablefunction,andletfbethefunctiondefinedbyf(x)=h(x2-3).Whichofthefollowingisequalto

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)
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)

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)
应该是4h'(1)
f'(x)=h'(x2-3)*(x2-3)'=2x*h'(x2-3)
带入x=2即可

a

f(x)=h(x^2-3)
f'(x)=h'(x^2-3)*(2x-3)
x=2
f'(2)=h'(1)
a.h'(1)

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