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Quiz de trigonometria

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Questions and Answers

Quina és la derivada de $f(x) = e^{3x^2 + 2x + 1}$?

$f'(x) = (6x + 2)e^{3x^2 + 2x}$

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

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

$f'(x) = (6x + 2)e^{3x^2 + 2x + 1}$ (correct)

Quina és la solució de l'equació $2rac{dy}{dx} - y = 3e^{4x}$?

$y = (C - 3e^{4x})e^{x/2}$

$y = Ce^{x/2} + 3e^{4x}$

$y = 3e^{4x} + Ce^{x/2}$

$y = (C + 3e^{4x})e^{x/2}$ (correct)

Quina és la integral indefinida de $4x ext{cos}(3x^2)$?

$ ext{sin}(3x^2) + C$

$rac{2}{3} ext{sin}(3x^2) + C$ (correct)

$2 ext{sin}(3x^2) + C$

$rac{2}{3} ext{cos}(3x^2) + C$

Quina és la solució general de l'equació diferencial $rac{dy}{dx} + 2y = 5e^{-2x}$?

$y = Ce^{-2x} + 5e^{-2x}$ Signup and view all the answers

Quina és la derivada de $y = ext{ln}(2x^3 + 5)$?

$rac{6x^2}{(2x^3 + 5)^2}$ Signup and view all the answers

Quin és el resultat de l'equació $3x - 2 = 7$?

x = 3 Signup and view all the answers

Quina és la derivada de $f(x) = 3x^2 + 2x + 1$?

f'(x) = 6x + 2 Signup and view all the answers

Resol la equació $2\sin(x) + \cos(x) = 0$.

x = -\frac{\pi},{4} + 2k\pi, k \in \mathbb{Z} Signup and view all the answers

Quina és la solució de la integral $\int (2x^2 + 3x - 1) , dx$?

\frac{2},{3}x^3 + \frac{3},{2}x^2 - x + C Signup and view all the answers

Calcula el valor de $x$ en l'equació $\log(2x) = 5$.

x = e^5 / 2 Signup and view all the answers