La función y su derivada I | math4u.vsb.cz

Enviado por michaela.bailova el Jue, 08/22/2024 - 15:15

Project ID:

7100020132

Accepted:

SubArea:

Derivada de una función

Tipo:

Layout:

Question:

Relaciona cada función con su derivada.

Question 1:

f (x) = \frac{x^{3}}{3} + x

Answer 1:

f^{'} (x) = x^{2} + 1

Question 2:

f (x) = \sin (x^{2} + 1)

Answer 2:

f^{'} (x) = 2 x \cdot \cos (x^{2} + 1)

Question 3:

f (x) = e^{2 x}

Answer 3:

f^{'} (x) = 2 e^{2 x}

Question 4:

f (x) = \ln (x^{2} + 1)

Answer 4:

f^{'} (x) = \frac{2 x}{x^{2} + 1}

Question 5:

f (x) = \frac{x}{x^{2} + 1}

Answer 5:

$f^{'} (x) = \frac{1 - x^{2}}{(x^{2} + 1)^{2}}$

Question 6:

f (x) = \sqrt{x^{2} + 1}

Answer 6:

f^{'} (x) = \frac{x}{\sqrt{x^{2} + 1}}

Question 7:

f (x) = (x^{2} + 1) \sin x

Answer 7:

f^{'} (x) = 2 x \sin x + (x^{2} + 1) \cos x

Question 8:

f (x) = x^{2} + 1

Answer 8:

f^{'} (x) = 2 x

Question 9:

f (x) = (x^{2} + 1) x

Answer 9:

f^{'} (x) = 3 x^{2} + 1