Qual a derivada da função abaixo? f ( x ) = x − 10 f\left(x\right)=x^{-10} f ( x ) = x − 1 0

− 10 x − 11 -10x^{-11} − 1 0 x − 1 1

− 10 x − 10 -10x^{-10} − 1 0 x − 1 0

10 x − 11 10x^{-11} 1 0 x − 1 1

− 10 x − 9 -10x^{-9} − 1 0 x − 9

Calcule a derivada da função abaixo. f ( x ) = x f\left(x\right)=\sqrt{x} f ( 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">

f ′ ( x ) = 1 2 x f'\left(x\right)=\frac{1}{2\sqrt{x}} f ′ ( 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

f ′ ( x ) = 1 x f'\left(x\right)=\frac{1}{\sqrt{x}} f ′ ( 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"> 1

f ′ ( x ) = 1 3 x f'\left(x\right)=\frac{1}{3\sqrt{x}} f ′ ( x ) = 3 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

f ′ ( x ) = 1 4 x f'\left(x\right)=\frac{1}{4\sqrt{x}} f ′ ( x ) = 4 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

Derivada

Authored by Franzé Alencar

Mathematics, Physics

University

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Qual a derivada de f(x) = 8?

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Se f(x) = x, então f'(x) é igual a:

1.x

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calcule a derivada de y = 8x².

16x

16x²

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Qual a derivada da função abaixo?
$f\left(x\right)=x^{-10}$

$-10x^{-10}$

$10x^{-11}$

$-10x^{-9}$

$-10x^{-11}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Seja f(x) = 5x³ - 4x² + 9x - 3. Calcule f'(1), ou seja, a derivada de f no ponto x = 1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Verdadeiro ou Falso?
$f\left(x\right)=13x^2\Longrightarrow f'\left(x\right)=26x^2$

Verdadeiro

Falso

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Derivando a função abaixo, temos:
$f\left(x\right)=\frac{2}{x}$

$f'\left(x\right)=\frac{-2}{x}$

$f'\left(x\right)=\frac{-2}{x^2}$

$f'\left(x\right)=\frac{-2}{x^3}$

$f'\left(x\right)=\frac{-2}{x^4}$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Derive a função abaixo.
$f\left(x\right)=5x^4+8x^3+11x^2$

$f'\left(x\right)=5x^3+8x^2+11x$

$f'\left(x\right)=20x^4+24x^3+22x^2$

$f'\left(x\right)=20x^2+24x+22$

$f'\left(x\right)=20x^3+24x^2+22x$

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Calcule a derivada da função abaixo.
$f\left(x\right)=\sqrt{x}$

$f'\left(x\right)=\frac{1}{\sqrt{x}}$

$f'\left(x\right)=\frac{1}{2\sqrt{x}}$

$f'\left(x\right)=\frac{1}{3\sqrt{x}}$

$f'\left(x\right)=\frac{1}{4\sqrt{x}}$

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Derivada

Qual a derivada de f(x) = 8?

Se f(x) = x, então f'(x) é igual a:

Calcule a derivada de y = 8x².

Qual a derivada da função abaixo? f(x)=x−10f\left(x\right)=x^{-10}f(x)=x−10

Seja f(x) = 5x³ - 4x² + 9x - 3. Calcule f'(1), ou seja, a derivada de f no ponto x = 1.

Verdadeiro ou Falso? f(x)=13x2⟹f′(x)=26x2f\left(x\right)=13x^2\Longrightarrow f'\left(x\right)=26x^2f(x)=13x2⟹f′(x)=26x2

Derivando a função abaixo, temos: f(x)=2xf\left(x\right)=\frac{2}{x}f(x)=x2​

Derive a função abaixo. f(x)=5x4+8x3+11x2f\left(x\right)=5x^4+8x^3+11x^2f(x)=5x4+8x3+11x2

"A derivada da soma é a soma das derivadas."

Calcule a derivada da função abaixo. f(x)=xf\left(x\right)=\sqrt{x}f(x)=x​

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Qual a derivada da função abaixo?
$f\left(x\right)=x^{-10}$

Verdadeiro ou Falso?
$f\left(x\right)=13x^2\Longrightarrow f'\left(x\right)=26x^2$

Derivando a função abaixo, temos:
$f\left(x\right)=\frac{2}{x}$

Derive a função abaixo.
$f\left(x\right)=5x^4+8x^3+11x^2$

Calcule a derivada da função abaixo.
$f\left(x\right)=\sqrt{x}$