Hosila va uning tatbiqlari

Question 1

$y=x+\frac{25}{x-5}$ funksiyaning $(5; \infty)$ oraliqdagi eng kichik qiymatini toping.

Accepted Answer

15

Answer

14

Answer

16

Answer

13

Question 2

$f\left(x\right)=x^{2021}-\cos x$ funksiyaning hosilasini toping.

Accepted Answer

$2021x^{2020}+\sin x$

Answer

$2021x^{2020}-\sin x$

Answer

$2021x^{2002}-\sin x$

Answer

$2021x^{2022}+\sin x$

Question 3

$f(2x+1)=x^4+4x^2$ funksiya berilgan. $f'(3)$ ni toping.

Accepted Answer

6

Answer

0

Answer

12

Answer

8

Question 4

$f(t)=t^4-2t^2+1$ bo‘lsa, $f'(1)$ ni hisoblang.

Accepted Answer

0

Answer

4

Answer

2

Answer

8

Question 5

$f(x)=7x^3+\sin(5x)$ funksiyaning hosilasini toping.

Accepted Answer

$21x^2+5\cos(5x)$

Answer

$21x^2-5\cos(5x)$

Answer

$7x^2-5\cos(5x)$

Answer

$\frac{7x^2}{3}+\frac{\cos(5x)}{5}$

Question 6

Anvar turg‘un suvda qayiq bilan o‘zgarmas 3 km/h tezlikda harakatlanadi. Anvar quruqlikda esa o‘zgarmas 5 km/h tezlikda yuradi (rasm). Anvar qancha eng qisqa vaqtda (daqiqa) uyiga boradi?

Accepted Answer

154

Answer

170

Answer

152

Answer

156

Question 7

Rasmda $f'\left(x\right)$ funksiyaning grafigi tasvirlangan. $[-1;5]$ kesmada $f\left(x\right)$ funksiya $x$ ning qanday qiymatida eng kichik qiymatga erishadi?

Accepted Answer

5

Answer

0

Answer

$-1$

Answer

$-4$

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