第一題是否未寫自變量?若沒有自變量,就是常數(shù),其導數(shù)為 0；若有自變量,求導如下：
y=sin^4(πx/4)+cos^4(πx/4)
y'=4 sin^3(πx/4) cos(πx/4) π/4 + 4 cos^3(πx/4) [-sin(πx/4)] π/4
= π sin(πx/4) cos(πx/4) [sin^2(πx/4)- cos^2(πx/4)]
= - π/2 sin(πx/2) cos(πx/2)
= - π/4 sin(πx)
y=(1+√x)/(1-√x)+(1-√x)/(1+√x)
=[(1+√x)²+(1-√x)²] / [(1-√x)(1+√x)]
=(1+2√x+x+1-2√x+x) / (1-x)
= 2(1+x)/(1-x)
=4/(1-x) - 2
y'= -4/(1-x)² (-1) = 4/(1-x)²話說導數(shù)是什么呢？？怎么感覺沒學過。。。。