נגזרת פונקציות טריגו

נגזרת פונקציות טריגו

10th - 11th Grade

10 Qs

quiz-placeholder

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נגזרת פונקציות טריגו

נגזרת פונקציות טריגו

Assessment

Quiz

Mathematics

10th - 11th Grade

Hard

Created by

Renata Gugel

Used 4+ times

FREE Resource

10 questions

Show all answers

1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

מצאו את הנגזרת של 

 y=2x sin(x)y=2x\ \sin\left(x\right)  

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

גזרו את הפונקציה

 y=x2sin(x)y=\frac{x^2}{\sin\left(x\right)}  

 2x sin(x)+x2 cos(x)sin2(x)\frac{2x\ \sin\left(x\right)+x^2\ \cos\left(x\right)}{\sin^2\left(x\right)}  

 2x sin(x)x2 cos(x)sin2(x)\frac{2x\ \sin\left(x\right)-x^2\ \cos\left(x\right)}{\sin^2\left(x\right)}  

 2x sin(x)x2 cos(x)sin(x)\frac{2x\ \sin\left(x\right)-x^2\ \cos\left(x\right)}{\sin\left(x\right)}  

 2x cos(x)+x2 sin(x)sin2(x)\frac{2x\ \cos\left(x\right)+x^2\ \sin\left(x\right)}{\sin^2\left(x\right)}  

אין תשובה נכונה

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

פתור את המשוואה:

 sin(4x)=1\sin\left(4x\right)=-1  

 x=π4n, nZx=\frac{\pi}{4}n,\ n\in Z  

 x=πn, nZx=-\pi n,\ n\in Z  

 x=4πn, nZx=4\pi n,\ n\in Z  

 x=3π8+π2n, nZx=\frac{3\pi}{8}+\frac{\pi}{2}n,\ n\in Z  

אין תזובה נכונה

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

פתור את המשוואה:

 cos(π2+x)=0\cos\left(\frac{\pi}{2}+x\right)=0  

 x=π+πn, nZx=\pi+\pi n,\ n\in Z  

 x=πn, nZx=\pi n,\ n\in Z  

 x=πn2, nZx=-\frac{\pi n}{2},\ n\in Z  

 x=πn2, nZx=\frac{\pi n}{2},\ n\in Z  

אין תשובה נכונה

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 sin(π+x)=\sin\left(\pi+x\right)=  

 cos(x)\cos\left(x\right)  

 sin(x)\sin\left(x\right)  

 sin(x)-\sin\left(x\right)  

 cos(x)-\cos\left(x\right)  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 cos(x+π)=\cos\left(x+\pi\right)=  

  cos(x)-\ \cos\left(x\right)  

  sin(x)-\ \sin\left(x\right)  

 sin(x)\sin\left(x\right)  

 cos(x)\cos\left(x\right)  

אין תשובה נכונה

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

גזור את הפונקציה:

 y=sin3(x)y=\sin^3\left(x\right)  

 cos3(x)\cos^3\left(x\right)  

 3sin2(x)cos(x)3\sin^2\left(x\right)\cos\left(x\right)  

 3cos2(x)sin(x)3\cos^2\left(x\right)\sin\left(x\right)  

 sin2(x)cos(x)\sin^2\left(x\right)\cos\left(x\right)  

אין תשובה נכונה

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