Evalúa las siguientes funciones
Janeth BautistaApuntes19 de Mayo de 2023
841 Palabras (4 Páginas)73 Visitas
[Escriba aquí]
BAUTISTA JIMENEZ NELLY JANETH GRUPO:1AM10 CALCULO DIFERENCIAL
Evalúa las siguientes funciones
- Si f(x)=2x²-3, obtén f(), f(3),f(0)[pic 1]
F ()=2()²- 3 f(3)= 2(3)²-3 f(0)=2(0)²-3 [pic 2][pic 3]
F ()= 2()-3 f(3)= 2(9)-3 f(0)= 2(0)-3[pic 4][pic 5]
F ( -3 f(3)= 18-3 f(0)= 0-3 [pic 6][pic 7]
F()= – f(3)= 15 f(0)= -3 [pic 8][pic 9][pic 10]
F ()= [pic 11][pic 12]
- Si f(x)= x²-5x+6, determina f(a), f(a+b)
F (a)= (a)²- 5(a)+ 6 f(a+b)= (a+b)²- 5(a+b)+ 6
F(a)= a²-5a+ 6 f(a+b)= a²+2ab+b² -5a – 5b +6
- Si f(x)= 3x²+ 4x -2 determina f(x+h), [pic 13]
F(x+h) =3(x+h) ²+ 4(x+h)-2
F(x+h) = 3(x²+2xh+ h²) + 4x+ 4h – 2
F(x+h) = 3x²+ 6xh+3h²+4x+4h – 2
F () = [pic 14][pic 15]
F () = [pic 18][pic 16][pic 17]
F () = [pic 21][pic 22][pic 23][pic 24][pic 25][pic 19][pic 20]
F () =[pic 26][pic 27]
- Si f(x)= determina f(),f(),f(x+h)-f(x)[pic 28][pic 29][pic 30]
F()= f()= [pic 31][pic 32][pic 33][pic 34]
F()=[pic 35][pic 36]
F () = [pic 37][pic 38]
F()= [pic 41][pic 42][pic 39][pic 40]
F (-)= F (-)= F (-)= F (-)= F (-)= 0[pic 43][pic 44][pic 45][pic 46][pic 47][pic 48][pic 49][pic 50][pic 51]
F(x+h)-f(x)= F(x+h)-f(x)=[pic 52][pic 53]
F(x+h)-f(x)= F(x+h)-f(x)= [pic 54][pic 55]
F(x+h)-f(x)=[pic 57][pic 58][pic 59][pic 60][pic 61][pic 62][pic 63][pic 64][pic 65][pic 66][pic 56]
F(x+h)-f(x)=[pic 67]
- Si f(x)= √x²-16 determina f(5),f(4),f(6),f(3)
F(5)= √5² - 16 f(4)= √4²-16 f(6)= √6²-16 f(3)= √3²-16
F(5)= √25-16 f(4)= √16-16 f(6)= √36-16 f(3)= √9-16
F(5)= √9 f(4)= 0 f(6)= √20 F(3)= √-7
F(5)= 3 NO EXISTE
- SI F(X)= √X²-3 determina f(x+h),[pic 68]
F(x+h)= √(x+h)²-3 f(x+h)= √x²+2xh+h²-3
F( =[pic 69][pic 70]
F( =[pic 71][pic 72]
F( . [pic 73][pic 74]
(a-b)(a+b)= a²-b² ()²=x [pic 75]
() . ()[pic 76][pic 77]
( – 3-()²= x²+2xh+h²-3-(x²-3)[pic 78][pic 79]
=x²+2xh+h²-3-x²+3 = 2xh+h²
...