f'(x)=1/2+2x-1=2x-1/2
在x=1/2處的切線的斜率k=f'(1/2)=1/2
x=1/2處點(diǎn)的y=(1/2)/2+(1/2)²-1/2=0則該點(diǎn)坐標(biāo)為(1/2,0)
根據(jù)點(diǎn)斜式可寫出切線方程:
y-0=1/2(x-1/2)=(1/2)x-1/4
即 4y-2x+1=0
已知f(1/x)=x/2+x^2-x,試求f(x)的導(dǎo)數(shù)f'(x)及f(x)在x=1/2點(diǎn)處的切線方程.
已知f(1/x)=x/2+x^2-x,試求f(x)的導(dǎo)數(shù)f'(x)及f(x)在x=1/2點(diǎn)處的切線方程.
數(shù)學(xué)人氣:698 ℃時(shí)間:2019-10-10 00:42:16
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