Quiz about Математика РК 2

Question 1

$$y=x^2\cos x\ функциясының\ туындысы:$$

Accepted Answer

$$2x\cos x-x^2\sin x$$

Answer

$$x^2\sin x$$

Answer

2x+sin x

Answer

$$2x^2+\cos x$$

Answer

2x sin x

Question 2

$$y(x)=\sin3x^2\ функциясының\ туындысы:$$

Accepted Answer

$$6x\cos3x^2$$

Answer

$$\cos3x^2$$

Answer

$$-\cos3x^2$$

Answer

$$6\sin3x^2$$

Answer

$$\sin3x^2$$

Question 3

$$y=x^2-5x\ +\ 1\ функциясының\ туындысы:$$

Accepted Answer

y' = 2x -5

Answer

y'-5x = -2

Answer

y'-5x + 5 = 0

Answer

y'-2x + 2 = 0

Answer

y'-3x + 5 = 0

Question 4

$$y=2\sqrt[]{x}\ -\frac{1}{x}-\sqrt[4]{3}\ \ \ функциясының\ туындысы:$$

Accepted Answer

$$y$$

Question 5

$$y=\frac{x}{4^x}\ функциясының\ туындысы$$

Accepted Answer

$$\frac{1-x\ln4}{4^x}$$

Answer

$$\frac{x\ln4}{4^x}$$

Answer

$$\frac{1}{4^x}\ln4$$

Answer

$$4^x\ln4$$

Answer

$$x\ln4$$

Question 6

$$y=x^2-3x+2\ функциясының\ y$$

Accepted Answer

y'( x ) = 2x- 3; y''( x ) - 2 = 0

Answer

y'( x ) = 0; y''( x ) = 2

Answer

y'( x ) = -3; y''( x ) = -3

Answer

y'( x ) = 2x; y''( x ) = 2

Answer

y'( x ) = 3; y''( x ) = 0 .

Question 7

$$y=e^x\cos x\ функциясының\ туындысы:$$

Accepted Answer

$$\frac{dy}{dx}=e^x\left(\cos x-\sin x\right)$$

Answer

$$\frac{dy}{dx}=e^x\left(\cos x+\sin x\right)$$

Answer

$$\frac{dy}{dx}=e^x\left(-\cos x-\sin x\right)$$

Answer

$$\frac{dy}{dx}=e^x\cos x$$

Answer

$$\frac{dy}{dx}=e^x\sin x$$

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