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Derivacija funkcije1

Authored by Emina Kusec

Mathematics

12th Grade

Used 5+ times

Derivacija funkcije1
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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Derivacija funkcije f(x)=3x5+4x3+3x+3f\left(x\right)=3x^5+4x^3+3x+3   je

f′(x)=15x4+12x3+3f'\left(x\right)=15x^4+12x^3+3  

f′(x)=15x4+12x2+6f'\left(x\right)=15x^4+12x^2+6  

f′(x)=5x4+4x2+3f'\left(x\right)=5x^4+4x^2+3  

f′(x)=15x4+12x2+3f'\left(x\right)=15x^4+12x^2+3  

2.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Neka je f(x)=x3−2x2. f′(5) f\left(x\right)=x^3-2x^2.\ f'\left(5\right)\  tada iznosi (a)   . (upiši broj)

3.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Stacionarna točka funkcije f(x)=8x2−4x+17f\left(x\right)=8x^2-4x+17  je (a)   . (rješenje napiši u decimalnom obliku).

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Stacionarna točka funkcije f(x)=x−12x+1f\left(x\right)=\frac{x-1}{2x+1}  je:

0

3

-2

ne postoji

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Funkcija f(x)=x−12x+1f\left(x\right)=\frac{x-1}{2x+1}  raste na:

<−∞,−12><-\infty,-\frac{1}{2}>  

<−12,+∞><-\frac{1}{2},+\infty>  

Na cijeloj prirodnoj domeni raste.

Na cijeloj prirodnoj domeni pada.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Stacionarna točka je točka lokalnog ekstrema ako f′f'  u toj točki mijenja predznak.

Točno.

Netočno.

7.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Media Image

Derivacija funkcije prikazane sljedećim grafom je pozitivna na intervalima:

<−∞,−1><-\infty,-1>  

<−1,0><-1,0>  

<0,1><0,1>  

<1,+∞><1,+\infty>  

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