Question

me ayudan a resolverlo por favorrr :(​
se los agracederia muchoo es para hoyy porfavor

Answer 1

Respuesta:

F(X) = (X^2-2)^2

F(X) = X^4-4X^2+4

F ' (X) = d/dx[X^4-4X^2+4]

F ' (X) = d/dx[X^4]-d/dx[4X^2]+d/dx[4]

F ' (X) = 4X^3-4×d/dx[X^2]+0

F ' (X) = 4X^3-4(2X)

F ' (X) = 4X^3-8X --------> Respuesta

F(X) = (X+1)(X+1)^2

F(X) = (X+1)^(1+2)

F(X) = (X+1)^3

F(X) = (X)^3+3(X)^2(1)+3(X)(1)^2+(1)^3

F(X) = X^3+3X^2+3X+1

F ' (X) = d/dx [ X^3+3X^2+3X+1 ]

F ' (X) = d/dx[X^3]+d/dx[3X^2]+d/d[3X]+d/dx[1]

F ' (X) = 3X^2+3×d/dx[X^2]+3×d/dx[X]+0

F ' (X) = 3X^2+3(2X)+3(1)

F ' (X) = 3X^2+6X+3 ----> Respuesta

F(X) = ( X^5-X^3+3)^4

F ' (X) = d/dx[X^5-X^3+3]^4

F ' (X) = d/dx[X^5-X^3+3]^4×d/dx[X^5-X^3+3 ]

F ' (X) = 4(X^5-X^3+3)^3×d/dx[X^5-X^3+3)

F ' (X) = 4(X^5-X^3+3)^3×(d/dx[X^5]-d/dx[X^3]+d/dx[3])

F ' (X) = 4(X^5-X^3+3)^3×(5X^4-3X^2+0)

F ' (X) = (20X^4-12X^2)(X^5-X^3+3)^3--------> Respuesta

F(X) = √(X^5-X^3+3)

F ' (X) = d/dx[√(X^5-X^3+3) ] × d/dx [ X^5 - X^3+3 ]

F ' (X) = 1/(2√(X^5-X^3+3))×(d/dx[X^5]-d/dx[X^3]+d/dx[3] )

F ' (X) = 1/(2√(X^5-X^3+3))×(5X^4-3X^2+0)

F ' (X) = 1/(2√(X^5-X^3+3))×(5X^4-3X^2)

F ' (X) = (5X^4-3X^2)/(2√(X^5-X^3+3))------> Respuesta.

Tener en cuenta : La raíz quinta de una expresión equivale a elevar la expresión al exponente 1/5.

F(X) = ((X^5-X^3+3))^(1/5)

F ' (X) = d/dx[((X^5-X^3+3))^1/5]

F ' (X) = 1/((X^5-X^3+3))^(1/5)×(d/dx[X^5] - d/dx[X^3]+d/dx[3])

F ' (X) = 1/(((X^5-X^3+3))^(1/5))×(5X^4-3X^2+0)

F ' (X) = (5X^4-3X^2)/(((X^5-X^3+3))^(1/5)) -------> Respuesta

F(X) = 2X^7-3X^6+3X^3-4X^2-7

F ' (X) = d/dx [ 2X^7-3X^6+3X^3-4X^2-7 ]

F ' (X) = d/dx[2X^7]-d/dx[3X^6]+d/dx[3X^3]-d/dx[4X^2]-d/dx[7]

F ' (X) = 2×d/dx[X^7]-3×d/dx[X^6]+3×d/dx[X^3]-4×d/dx[X^2]-0

F ' (X) = 2(7X^6)-3(6X^5)+3(3X^2)-4(2X)

F ' (X) = 14X^6-18X^5+9X^2-8X ----> Es la respuesta

F(X) = (X-3)/2

F ' (X) = 1/2×d/dx[ X-3 ]

F ' (X) = 1/2×(d/dx(X)-d/dx(3))

F ' (X) = 1/2×(1-0)

F ' (X) = 1/2×1

F ' (X) = 1/2 ------> Respuesta

F(X) = -(X^3+X-1)/2

F ' (X) = -1/2 × (d/dx[X^3+X-1])

F ' (X) = -1/2×(d/dx[X^3]+d/dx[X]+d/dx[1])

F ' (X) = -1/2 × (3x^2+1-0)

F ' (X) = ( -3X^2+1 )/2-----> Respuesta

F(X) = -3/2X^3+5/2X^2-4

F ' (X) = d/dx [ ( -3/2X^3+5/2X^2-4 ) ]

F ' (X) = d/dx[-3/2X^3]+d/dx[5/2X^2]-d/dx[4]

F ' (X) = -3/2×d/dx[X^3]+5/2×d/dx[X^2]-0

F ' (X) = -3/2(3X^2)+5/2(2X)

F ' (X) = -3(3X^2)/2+5(2X)/2

F ' (X) = -9X^2/2+10X/2

F ' (X) = -9X^2/2+5X ---------> Respuesta

F(X) = 3/X^2

F ' (X) = d/dx(3/X^2)

F ' (X) = (((-3×d/dx(X^2))/((X^2)^2)

F ' (X) = (((-3(2X))/(X^4))

F ' (X) = ((-6X)/X(X^3))

F ' (X) = -6(X)/(X)(X^3))

F ' (X) = -6/(X^3) -----------> Respuesta.

Explicación paso a paso: