f(x)=x^2,and if h is not zero,then f(x+h)-f(x)/h=?美国的数学题,

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f(x)=x^2,and if h is not zero,then f(x+h)-f(x)/h=?美国的数学题,

f(x)=x^2,and if h is not zero,then f(x+h)-f(x)/h=?美国的数学题,
f(x)=x^2,and if h is not zero,then f(x+h)-f(x)/h=?美国的数学题,

f(x)=x^2,and if h is not zero,then f(x+h)-f(x)/h=?美国的数学题,
h不等于0
则[f(x+h)-f(x)]/h
=[(x+h)^2-x^2]/h
=(x+h+x)(x+h-x)/h
=h(2x+h)/h
=2x+h

[f(x+h)-f(x)]/h=2x+h

f(x)=x^2,如果h≠0,那么[f(x+h)-f(x)]/h=?
[f(x+h)-f(x)]/h
=[(x+h)^2-x^2]/h
=(x^2+2xh+h^2-x^2)/h
=(2xh+h^2)/h
=2x+h

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