Найдите производную функции f(x)= cos ⁡ x − x \cos x-\sqrt{x} cos x − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− sin ⁡ x − 1 2 x -\sin x-\frac{1}{2\sqrt{x}} − sin x − 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

\cos x-\sqrt{x} cos x − x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

− sin ⁡ x + 1 2 x -\sin x+\frac{1}{2\sqrt{x}} − sin x + 2 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> 1

Найти производную функции у = ( 2 х − 5 ) 15 у=\left(2х-5\right)^{15} у = ( 2 х − 5 ) 1 5

у , = 30 ( 2 х − 5 ) 14 у^,=30\left(2х-5\right)^{14} у , = 3 0 ( 2 х − 5 ) 1 4

у , = 15 ( 2 х − 5 ) 14 у^,=15\left(2х-5\right)^{14} у , = 1 5 ( 2 х − 5 ) 1 4

у , = ( 2 х − 5 ) 14 у^{,\ }=\left(2х-5\right)^{14} у , = ( 2 х − 5 ) 1 4

у , = − 30 ( 2 х − 5 ) 14 у^,=-30\left(2х-5\right)^{14} у , = − 3 0 ( 2 х − 5 ) 1 4

Найти производную функции f(x) = x ⋅ 3 x x\cdot3^x x ⋅ 3 x

3 x ( 1 + x ln ⁡ 3 ) 3^x\left(1+x\ln3\right) 3 x ( 1 + x ln 3 )

1 + 3 x ln ⁡ 3 1+3^x\ln3 1 + 3 x ln 3

3 x ( 1 + x ) 3^x\left(1+x\right) 3 x ( 1 + x )

Производная функции y = e sin ⁡ x y=e^{\sin x} y = e sin x равна

e sin ⁡ x cos ⁡ x e^{\sin x}\cos x e sin x cos x

− e sin ⁡ x cos ⁡ x -e^{\sin x}\cos x − e sin x cos x

e sin ⁡ x sin ⁡ x e^{\sin x}\sin x e sin x sin x

производная

Quiz

•

Mathematics

•

11th Grade

•

Practice Problem

•

Medium

Наталья Кузнецова

Used 4+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Выберите правило вычисления производной суммы

(U+V)'=U'+V'

(U+V)'=U'-V'

(U+V)'=U+V

2.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Выберите правило вычисления производной произведения

(U∙V)'=U' V+UV'

(U∙V)'=U' V-UV'

(U∙V)'=U' ∙ V'

3.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Выберите правило вычисления производной частного

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Выберите формулу, определяющую геометрический смысл производной

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Уравнение касательной задано формулой

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Механический смысл производной задан формулой

7.

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Чему равна производная постоянной С

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