It is proved by definition that: (2) the function g (x) = K / X (k < 0, K is a constant) is an increasing function on (- infinite, 0)

It is proved by definition that: (2) the function g (x) = K / X (k < 0, K is a constant) is an increasing function on (- infinite, 0)

Let X1 and X2 belong to (- infinity, 0), let x1

It is proved by definition that: (1) the function f (x) = ax + B (a < 0, a, B are constants) is a subtractive function on R

Prove that any X1 and X2 belong to R, and x1

Given the function f (x) = 2A + 1 / A-1 / A ^ 2x, the constant a > 0 (1) let m * n > 0, it is proved that the function f (x) monotonically increases (2) o on [M, n]

Is that the title
Known function f (x) = 2A + 1 / A-1 / A ^ 2x, constant a > 0
(1) Let m * n > 0, it is proved that the function f (x) increases monotonically on [M, n]
(2)o

Y = (2x-1) ^ 2 (2-3x) ^ 3 derivative

y=(2x-1) ² (2-3x) ³ y'=[(2x-1) ²] (2-3x) ³+ (2x-1) ² [(2-3x) ³]'= 2(2x-1)(2x-1)'(2-3x) ³+ (2x-1) ² 3(2-3x) ² （2-3x)'=4(2x-1)(2-3x) ³- 9(2x-1) ² (2-3x) ²= (2x-1)(2-...

Y = derivative of 2 ^ xcosx-3xlog2009x y = (x + cosx) / (x-cosx) y = derivative of COS ^ 2 (2x + π / 3) Just x on the index, 2009x

The second is: (- 2xsinx-2cosx) / (x-cosx) ^ 2
The third is: - 2cosxsinx (2x + π / 3) + 2cosx ^ 2
Is xcosx in the first one on the index? Is 2009x a real number or only 2009

y=sin ³ Derivative of (3x + π / 4)

Let 3x + π / 4 = t
(sin^3t)'=((sin^2t)(sint))'
Using the derivative multiplication rule
=（sin^2t)'sint+(sint)'sin^2t
Using the derivation rule for sin ^ 2T, we get
=(sint(sint)'+(sint)'sint)sint+costsin^2t
=(2sintcost)sint+costsin^2t
=2sin^2tcost+costsin^2t
=3costsin^2t
Bring in t = 3x + π / 4
=3cos(3x+π/4)sin^2(3x+π/4)