Differential of higher number y = x / (x ^ 2 + 1) ^ 1 / 2 For example, y is equal to the differential of X of the root sign (square of x plus 1), Dy = [1 / (x ^ 2 + 1) ^ (2 / 3)] DX dy is equal to 1 / 2 of {[(x's Square plus 1)] multiplied by DX Eat, wait and see.

Differential of higher number y = x / (x ^ 2 + 1) ^ 1 / 2 For example, y is equal to the differential of X of the root sign (square of x plus 1), Dy = [1 / (x ^ 2 + 1) ^ (2 / 3)] DX dy is equal to 1 / 2 of {[(x's Square plus 1)] multiplied by DX Eat, wait and see.

∵y=x/(x^2+1)^（1/2）∴dy=d[x/(x^2+1)^(1/2)] =[x/(x^2+1)^(1/2)]′dx ={[(x^2+1)^(1/2)-x^2/(x^2+1)^(1/2)]/(x^2+1)}dx ={[(x^2+1)-x^2]/[(x^2+1)^(3/2)]}dx =[1/(x^2+1)^(3/2)]dx =dx/(x^2+1)^(3...

A (m-th power of X, y-th power) third power ÷ (3x square, y-th power) square = 2x fifth power, y-th power a=? m=? n=?

A (3m power of X, Y12 power) ÷ (4th power of 9x, 2n power of Y) = 2x 5th power, y 4th power
(A / 9) (3m-4th power of X and 12-2n power of Y) = 2x 5th power and Y 4th power
So a / 9 = 2
3m-4=5
12-2n=4
therefore
a=18
m=3
n=4

Differentiation of π - 3x power * cos3x of y = e

dy=d[e^(π-3x)*cos3x]=cos3xde^(π-3x)+e^(π-3x)dcos3x=cos3x*e^(π-3x)d(π-3x)+e^(π-3x)*(-sin3x)d(3x)=cos3x*e^(π-3x)*(-3)dx+e^(π-3x)*(-sin3x)*3dx=-3e^(π-3x)(cos3x+sin3x)dx=-3√2sin(3x+π/4)*e^(π-3...

-(3x squared y squared) cube - (- 3x) squared × (- y) to the fourth power × Square of (x, y)

Original formula = - (27x ^ 6y ^ 6) - 9x ^ 2 * y ^ 4 * x ^ 4Y ^ 2
=-27x^6y^6-9x^6y^6
=-36x^6y^6

Calculation: 1. (the fourth power of XY) to the power of M, 2. (the second power of P, q) to the power of n 3. The second power of (3N power of XY) + the n power of (sixth power of XY) 4. The quadratic power of (- 3x) - the cubic power of [(2x)]

1. (the fourth power of XY) m power = the m power of X, the 4m power of Y 2. - (the second power of P, q) n power = - the 2n power of P, the n power of Q 3. (the 3N power of XY) quadratic + (the sixth power of XY) n power = x ² 6N power of Y + n power of X 6N power of Y 4. (- 3x's third power) - [(2x)

2X to the 3rd power minus 0.5xy to the 3rd power - 2 / 3xy to the 3rd power - XY to the 3rd power - 0.25x to the 3rd power y

2X to the 3rd power minus 0.5xy to the 3rd power - 2 / 3xy to the 3rd power - XY to the 3rd power - 0.25x to the 3rd power y
=2x ³- 0.5xy ³- 2/3xy ³- xy ³- 0.25x ³ y
=2x ³- 1/2xy ³- 5/3xy ³- 0.25x ³ y
=2x ³- 3/6xy ³- 10/6xy ³- 0.25x ³ y
=2x ³- 13xy ³- 1/4x ³ y