[微分] 請大家幫幫我唄...^^"
想請問一下各位大大們兩題微分的題目~!!麻煩囉~!!
謝謝~!!
第一題
show that the length of the portion of any tangent line to the astroid
X的2/3次方+Y的2/3次方=a的2/3次方 cut off by the coordinate axes is constant
第二題
(a)Find the linearization of f(x)=(1+3x)的1/3次方 at a=0.State the correspond
-ing linear approximation and use it to give an approximate value for (1.03)
的1/3次方.
(b)Determine the values of x for which the linear approximation given in
part(a) is accurate to within 0.1
第二題有答案:(a)L(x)=1+x，(1+3x)的1/3次方近似於1+x，(1.03)的1/3次方近似於1.01
(b)-0.23< x <0.40
麻煩各位微積分的大大們,可以幫我解惑~~!!!
謝謝大家~!!
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