Deriving Trig Equations

Deriving Trig Equations

12th Grade

18 Qs

quiz-placeholder

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Deriving Trig Equations

Deriving Trig Equations

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF.TF.C.9, HSF.TF.C.8

Standards-aligned

Created by

Barbara White

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18 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Media Image

Determine the derivative of:  f(x) = x4sinx

x4 cosx - 4x3sinx
xcosx + 4x3sinx
4x3cosx
-4x3cosx

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the derivative f(x) = tanxcosx

f'(x) = sec2xcosx - tanxsinx
f'(x) = sec2xcosx + tanxsinx
f'(x) = sec2xsinx
f'(x) = sec2xcosx - tanxcosx

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If f(x) = sin3(2x), then f'(x) =

3cos(2x)
3sin(2x)⋅2
3sin2(2x)cos(2x)
3sin2(2x)cos(2x)⋅2

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of -cos(x)?

sin(x)
-sin(x)
cos(x)
-cos(x)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of cot(x)?

sec2(x)
-sec2(x)
csc2(x)
-csc2(x)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the derivative of tan(x)?

-sec2(x)
-csc2(x)
sec2(x)
csc2(x)

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is f'(x) if f(x) = cos(5x4)?

f'(x) = sin(20x3)
f'(x) = 20x3 sin(5x4)
f'(x) = -sin(20x3)
f'(x) = -20x3 sin(5x4)

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