The monotone decreasing interval of function f (x) = 2x ^ 3-3x is_______ The monotone increasing interval is_______

The monotone decreasing interval of function f (x) = 2x ^ 3-3x is_______ The monotone increasing interval is_______

f'(x)=6x²-3

F (x) = derivative of cosx

If there is a derivative formula, f '(x) = - SiNx can be used directly
No formula, no definition
f'(x)=lim(h->0) [f(x+h)-f(x)]/h=lim(h->0) [cos(x+h) - cosx]/h =lim(h->0) [-2sin(x+h/2)sin(h/2)]/h=lim(h->0) -sin(x+h/2)sin(h/2)/(h/2)=lim(h->0) -sin(x+h/2)=-sinx
According to the sum difference product formula cos θ - cos φ = - 2Sin [(θ + φ) / 2] sin [(θ - φ) / 2]
Important limit LIM (x - > 0) SiNx / x = 1

I'm going to take it! At least 50 points!
In the process of sorting out campus work, if three grades work at the same time, it will take 12 minutes to complete. It is known that one minute work in grade nine will take 1.5 minutes in grade eight, and two minutes in grade seven. How many minutes will it take each of the three grades to complete this work alone?

If X minutes are set for grade nine, then 1.5x minutes for grade eight and 2x minutes for grade seven
1/x+1/1.5x+1/2x=1/12
The solution is x = 26
There are 26 minutes in grade nine, 139 minutes in grade eight and 52 minutes in grade seven

What is the general solution of the differential equation y '' + 2Y '+ y = 0?

The general solution of y = C1 * cosx + C2 * SiNx is that C1 and C2 can take any uncertain solution OK

How to read 24 English letters

A AI B Bi C se d d e 100 million f Ai Fu g h AI Qi I AI J borrow K K L AI Er m AI Mu n o o o p q ki ou r two s AI si t for u right V feed w Da Bu Liu x AI Si y outside Z thief (four voice

Put 123456789 in () () + () - () = (); () * () = () () to make the formula hold
Each bracket is a number and cannot be repeated

(1)(2)+(3)-(7)=(8);(6)*(9)=(5)(4)

How to transform a straight line in space rectangular coordinate system into one of its plane rectangular coordinate system equations?
For example, if we invert a Mitsubishi cone with two vertical sides and an equilateral triangle at the bottom into a space rectangular coordinate system and a straight line at the bottom, we can reestablish a simple plane rectangular coordinate system. How can these coordinates be transformed?

One is to use the space vector coordinate transformation, the other is to use the mapping to measure the relevant data and establish a new coordinate system to solve

It is known that an asymptote equation of hyperbola with coordinate axis as symmetry axis is 4x-3y = 0, and the focal coordinate of hyperbola passing through point (3.8) is?

Because the asymptote equation of hyperbola with coordinate axis as symmetry axis is 4x-3y = 0, we can assume that the hyperbolic equation is (4x-3y) (4x + 3Y) = k, and the curve passes through point (3,8). Substituting x = 3 and y = 8 into the equation, we can get k = (12-24) * (12 + 24) = - 432, so the hyperbolic equation is (4x-3y) (4x + 3Y) = - 432

Is the sign bit of negative number 1 or 0?

It's 1

Let 2 / 3 of loga be less than 1 (0 < a < 1), then the value range of a is 0

2 / 3 < 1
That is, 2 / 3 of loga < loga (a)
∵ 0