Monotone increasing interval of function y = 2tan (3x + π / 4)

-π/2+k*π

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11. The monotone increasing interval of function y = 2tan (3x + π / 6) is?
12. Where y is the inverse proportion function of X, a.x (Y-1) = 1 b.y = 1 / x + 1 C.Y = 1 / X squared D D.Y = 1 / 3x Why?
13. If in the function y = 2-m / 3x + (m ^ 2-4), X is inversely proportional to y, then M=
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15. Given the function y = [2m + 1] x + M-3, if the image of the function is parallel y = 3x-3, find the value of M
16. Given that function x ^ 3 + 3mx ^ 2 + NX + m ^ 2 has extreme value 0 when x = - 1, find m and n
17. If f (x) = ax ^ 3 + 3mx ^ 2 + NX + m ^ 2 has an extreme value of 0 when x = - 1, then M + n =? Note that the third power of X is preceded by A
18. Given that the function f (x) = x ^ 3 + 3mx ^ 2 + NX + m ^ 2 has an extreme value of 0 when x = - 1, then M + n =? I will try 11 and 4, but the correct answer is only 11 Why give up 4?
19. It is known that x = 1 is an extreme point of the function f (x) = MX ^ 3-3 (M + 1) x ^ 2 + NX + 1
20. It is known that x = 1 is an extreme point of the function f (x) = mx3-3 (M + 1) x2 + NX + 1, where m, n ∈ R It is known that x = 1 is an extreme point of the function f (x) = mx3-3 (M + 1) x2 + NX + 1, where m, n ∈ R, M > 0 (1) Find the expression of the relationship between M and n; (2) Finding monotone interval of F (x); detailed process