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a_kx^{n-k}h^k
y'=1x^0=1
y'=f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}=\lim_{h\to0}\frac{a(x+h)-ax}{h}=\lim_{h\to0}\frac{ah}{h}=\lim_{h\to0}a=a
y=ax=f(x)
f'(x)