Quiz about Quiz Persamaan garis singgung (TURUNAN FUNGSI)

Question 1

Persamaan garis singgung kurva $$f\left(x\right)=2\cos\ x$$ di titik $$\left(\frac{\pi}{6},\sqrt{3}\right)$$ adalah ... .

Accepted Answer

$$y=-x+\frac{\pi}{6}+\sqrt{3}$$

Answer

$$y=-x-\frac{\pi}{6}+\sqrt{3}$$

Answer

$$y=-x+\frac{\pi}{6}-\sqrt{3}$$

Answer

$$y=x+\frac{\pi}{6}+\sqrt{3}$$

Answer

$$y=x+\frac{\pi}{6}-\sqrt{3}$$

Question 2

Fungsi

$$f\left(x\right)=\cos^2x-2\cos x-1$$ melalui titik berabsis $$\frac{\pi}{2}$$ . Persamaan garis singgung kurva pada titik tersebut adalah ...

Accepted Answer

$$y=2x-\pi-1$$

Answer

$$y=2x+\pi-1$$

Answer

$$y=2x+\pi-2$$

Answer

$$y=-2x+\pi-1$$

Answer

$$y=-2x+\pi-2$$

Question 3

Garis $$k$$ menyinggung grafik fungsi $$g\left(x\right)=3x^2-x+6$$ di titik $$B\left(2,\ 16\right)$$ .

Persamaan garis $$k$$ adalah ...

Accepted Answer

$$y=11x-6$$

Answer

$$y=2x-16$$

Answer

$$y=2x+16$$

Answer

$$y=11x+6$$

Answer

$$y=11x+116$$

Question 4

Garis $$g$$ menyinggung grafik fungsi $$f\left(x\right)=-2x^2-x+8$$ . Jika gradien garis singgung tersebut $$m=7$$ , titik singgung antara fungsi $$f$$ dan garis $$g$$ adalah ...

Accepted Answer

(-2, 2)

Answer

(-2, 4)

Answer

(0, 2)

Answer

(2, 2)

Answer

(2, 4)

Question 5

Persamaan garis singgung kurva $$y=x^2-2x-3$$ yang tegak lurus dengan garis $$x+2y-6=0$$ adalah ...

Accepted Answer

$$2x-y-7=0$$

Answer

$$x-2y+7=0$$

Answer

$$x+2y+4=0$$

Answer

$$2x+y-4=0$$

Answer

$$7x-y+2=0$$

Question 6

Tentukan persamaan garis singgung $$y=3x^2-2x+5$$ yang sejajar dengan garis $$-4x+y=5$$ adalah...

Accepted Answer

$$y=4x+2$$

Answer

$$y=-2x+4$$

Answer

$$y=4x-2$$

Answer

$$y=2x-4$$

Answer

$$y=2x+4$$

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