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各位大神帮忙解一下 10
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(1)
y=cosx
y'
=lim(h->0) [cos(x+h) -cosx ]/h
=lim(h->0) 2sin[(2x+h)/2]. sin(-h/2) /h
=2sinx . lim(h->0) sin(-h/2) /h
=-sinx
(2)
y=e^x
y' = lim(h->0) [e^(x+h) - e^x] /h
= e^x . lim(h->0) [e^h - 1] /h
= e^x
y=cosx
y'
=lim(h->0) [cos(x+h) -cosx ]/h
=lim(h->0) 2sin[(2x+h)/2]. sin(-h/2) /h
=2sinx . lim(h->0) sin(-h/2) /h
=-sinx
(2)
y=e^x
y' = lim(h->0) [e^(x+h) - e^x] /h
= e^x . lim(h->0) [e^h - 1] /h
= e^x
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