Question

求下列导数

如图

Answer 1

如图所示

追问

剩下的题能也写下吗，谢谢了

Answer 2

(1) y' = (5ln10)10^x + 10x^9, y'(2) = 500ln10 + 5120
(2) y' = 10(x-a)^9(x-b)^5 + 5(x-a)^10(x-b)^4 = 5(3x-a-2b)(x-a)^9(x-b)^4
(3) y' = {2e^(2x)[e^(2x)+1] - 2e^(2x)[e^(2x-1)]}/[e^(2x)+1]^2
= 4e^(2x)/[e^(2x)+1]^2
(4) y' = -14tanx(secx)^2 = -14sinx/(cosx)^3
(5) y' = (1/2)[sin(2x-1)]^(-1/2) cos(2x-1) 2 = cos(2x-1)/√sin(2x-1)
(6) y' = arccot(1/x) + x(-1/x^2)/[1+(1/x)^2] = arccot(1/x) - x/(1+x^2)
(7) y' = -2cosxsinx/(cosx)^2 = -2tanx
(8) y' = 8[f(2x^2+4)]^7(4x) - 2cos[g(x)]g'(x) + e^[sinf(x)]cosf(x) f'(x)
= 32x[f(2x^2+4)]^7 - 2g'(x)cos[g(x)] + f'(x)cosf(x)e^[sinf(x)]
(9) y' = nx^(n-1), y'' = n(n-1)x^(n-2), ......, y^(n) = n!, y^(n+1) = 0

Answer 3

答案在纸上面