What is the derivative of the logarithm of X with base 3 As the title, as the title,

What is the derivative of the logarithm of X with base 3 As the title, as the title,


(log3(x))'=1/(xln3)
You can do that
(log3(x))'=(lnx/ln3)'=1/ln3*1/x=1/(xln3)



Why is y '/ Y on the left when I want to know the logarithmic differentiation


The derivative of LNY, where y is an intermediate variable, is obtained by using the composite function: (LNY) '= (1 / y) y'



The definition of differential is that we don't know what differential is
For example, if y = f (x) is known, what is the answer to the differential of x = 0 point y


Dy is the derivative of the function at 0 times DX



Solution ratio 1.5:3 / 4 = 0.36: X


1.5:3 / 4 = 0.36: X
1.5x=3/4×0.36
1.5x=0.27
x=0.18



(1) If two rational numbers a and B satisfy the relation (A-1) (B-1) 0, are they necessarily greater than 1? Please use ∵; to explain. What conditions can be added to make them greater than 0?
Please add what conditions?
How to make them all > 1!


∵ 0 ∵ the same sign ∵ a, B must be greater than 1 or less than 1



There are 240 chickens and ducks in the farm. The posture of chickens is one fourth of that of ducks. How many chickens and ducks are there in the farm


There are 240 chickens and ducks in the farm. The number of chickens is one fourth of that of ducks. How many chickens and ducks are there in the farm?
The number of chickens is a quarter of that of ducks, which can be regarded as a total of five, with chickens accounting for one
The number of chickens is 240 (4 + 1) = 48
The number of ducks is 240-48 = 192



The domain of the function y = tan2x is______ .


From the solution of 2x ≠ K π + π 2, we get x ≠ K π 2 + π 4, then the domain of definition of function y = tan2x is {x | x ≠ K π 2 + π 4, K ∈ Z}. So the answer is {x | x ≠ K π 2 + π 4, K ∈ Z}



1. Solve the quadratic equation of two variables
(1) 2x-y = 5 (2) 2x-y = 5
4x-2y=10 4x-2y=7
2. It is known that 3x-4y = 12
6X - (a + 3) y = 7 when a satisfies what conditions, the system of equations has no unique solution, and the system of equations has no solution
3. If ax + by = 4, 3x-y = 5
4X + 7Y = 1 and ax + by = 6, then a =. B=


Children who don't study hard are not good at (1) 2x-y = 5, 4x-2y = 10 method 1: (substituting into elimination method) because 2x-y = 5, so y = 2x-5 substituting into 4x-2y = 10, 4x-2 (2x-5) = 1010 = 10 innumerable solutions



Given the sequence 1 / 2, - 1 / 2,5 / 18, - 7 / 54, write a general term formula


1/2,-3/6,5/18,-7/54
Molecule (2n-1) (- 1) ^ (n + 1)
Denominator 2 * [3 ^ (n-1)]
So the general term is [(2n-1) (- 1) ^ (n + 1)] / {2 * [3 ^ (n-1)]}



How much is the N-1 power of 2 plus one divided by the N-1 power of 2 plus one?


N power of 2 + 1 = n power of 2 + 2-1 = 2 (n-1 power of 2 + 1) - 1
that
N-1 power of 2 + 1 / 2 + 1 = 2 (n-1 power of 2 + 1) / n-1 power of 2 + 1 - 1 / 2 + 1
=2 - (n-1 power of 1 / 2 plus one)
It can also be transformed into many forms, such as 1 + (n-1 power of 2 / n-1 power of 2 plus one)
For example, 1 + (1 / (1 / N-1 of 1 + 2))
What kind do you want?