Question

打钩的三道题目要详细过程,谢谢

Answer 1

5、①幂函数y=x^n的导数为：y=nx^(n-1).
所以本题函数的导数为：y'=5x^4.

⑤y=x^(2+  1/2+ 1/3)

=x^(17/6)

∴ y'=(17/6)x^(17/6  -1)=(17/6)x^(11/6)

Answer 2

y= 1/x
y(x+△x) = 1/(x+△x)

y'
= lim(△x->0) [y(x+△x)- y(x)]/ △x
= lim(△x->0) [1/(x+△x)- 1/x ]/ △x
= lim(△x->0) [-1/x(x+△x)]
=-1/x^2

(1)
y=x^3
dy/dx= 3x^2

(5)
y = x^2.(x)^(1/2) .x^(1/3)
= x^(17/6)
dy/dx = (17/6)x^(11/6)

Answer 3

Answer 4