On the derivative of y = {(x-4) (x-3) / [(X-2) (x-1)]} ^ 1 / 2 Take logarithms on both sides of the book and get LNY = 1 / 2 [ln (x-4) + ln (x-3) - ln (X-2) - ln (x-1)]. Why don't we consider the case of x < 1?

On the derivative of y = {(x-4) (x-3) / [(X-2) (x-1)]} ^ 1 / 2 Take logarithms on both sides of the book and get LNY = 1 / 2 [ln (x-4) + ln (x-3) - ln (X-2) - ln (x-1)]. Why don't we consider the case of x < 1?

The domain of y = {(x-4) (x-3) / [(X-2) (x-1)]} ^ 1 / 2 is (- ∞, 1) ∪ (2,3] ∪ [4, + ∞)
When x ≥ 4, LNY = 1 / 2 [ln (x-4) + ln (x-3) - ln (X-2) - ln (x-1)],
y′/y=1/2[1/(x-4)+1/(x-3)-1/(x-2)-1/(x-1)].(*)
.
two

Y = 5 / x, find the derivative

Y=5/X=5X^(-1)
Y'=5*(-1)*X^(-1-1)
=-5X^(-2)
=-5/X^2

The circumference of the bottom surface of a cylinder is 12.56cm and its height is 8cm. What is its volume and surface area?

Bottom radius = 12.56 ﹣ 3.14 ﹣ 2 = 2 (CM) bottom area = Wu × square of radius 3.14 × 2 ﹣ 178; = 12.56 (CM) side area = bottom perimeter × height 12.56 × 8 = 100.48 (CM) surface area = bottom area + side area 100.48 + 12.56 × 2 = 125.6 (CM) volume

Partial solar eclipse, why under normal circumstances, the light spot under the shade is the image of the sun, and the shape of the gap after the sunlight passes through the large gap between the leaves, but
Partial solar eclipse, why under normal circumstances, the light spot under the tree shade is the image of the sun, and the shape of the gap after the sunlight passes through the large gap between the leaves, while under partial solar eclipse, why under normal circumstances, the light spot under the tree shade is the image of the sun, and the shape of the gap after the sunlight passes through the large gap between the leaves, and during partial solar eclipse, it is crescent shaped?
Question: Why are the time spots of partial solar eclipses crescent shaped, and usually the shape of the sun's image and large space?

Principle of pinhole imaging. Linear propagation of light
After the sunlight passes through the gap between the leaves, the image is formed. Because of the straight-line propagation of sunlight, the shape of the image is the same as that of the original object
Round things are round, crescent things are crescent

Who knows what physical symbols mean? Please answer

Length meter m weight kilogram kg time second s current intensity ampere a thermodynamic temperature Kelvin K mass mole mol luminous intensity candela CD area square meter M2 volume cubic meter m3 molar volume cubic meter per mole m3 / mol frequency Hz (1 / s) density kilogram per cubic meter kg / m3 mole

The perimeter of a rectangle is 24cm. If the width is increased by 2cm, it can become a square. How many cm is the width of the rectangle
Is this right: (x + X + 2) × 2 = 24
2x+2x+4=24
4x+4=24
4x=24-4
4x=20
x=5

Yes. √

Simple calculation: 1 / 2 + 3 / 4 + 7 / 8 + 15 / 16 + 31 / 32 + 63 / 64 + 127 / 218

1 / 2 + 3 / 4 + 7 / 8 + 15 / 16 + 31 / 32 + 63 / 64 + 127 / 128 = 1-1 / 2 + 1-1 / 4 + 1-1 / 8 + 1-1 / 16 + 1-1 / 32 + 1-1 / 64 + 1-1 / 128 = 7 - (1 / 2 + 1 / 4 + 1 / 8 + 1 / 16 + 1 / 32 + 1 / 64 + 1 / 128) = 7-1 / 2 (1-1 / 2 ^ 7) / (1-1 / 2) = 7-127 / 128 = 6 and 1 / 128

The function f (x) = (1 / 2 ^ x-1) + A is known to be odd. 1. Find the value of constant A. 2. Find the range of function f (x)

Because f (x) is an odd function
So f (0) = 0
F (x) = (1 / 2 ^ X - 1) + A, let's rephrase this

How long is the circumference of the figure formed by stacking a rectangle 4 cm long and 2 cm wide with a square paper 3 cm long?

Perimeter (4 + 3) x2 = 14cm

How to calculate 5,9,7,7 as 24

(9-7)*(7+5)=24