Implicit Differentiation

Implicit Differentiation

12th Grade

6 Qs

quiz-placeholder

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Implicit Differentiation

Implicit Differentiation

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Medium

CCSS
HSA.REI.A.1, HSA.REI.B.3

Standards-aligned

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dy/dx by Implicit Differentiation 
x3 +y3  = 36

6 -x
3x2 +3y2 
−x2/y2
0

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dy/dx by Implicit Differentiation
xy = 6

-x/ y
-y/ x
-6y/ x
y/x

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dy/dx
xy+y2=2

-y/(x+2y)
y/(x+2y)
-3y/x
-3x/y

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

-2

-2/3

2/3

2

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the derivative:
y=5x2e3x

y'=10xe3x(2x+3)
y'=5xe3x(3x+2)
y'=10ex3x(3x+2)
y'=5xe3x(2x+3)

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the second derivative of f(x) = x+ e - cosx

f"(x) = 2 + ex + cosx
f"(x) = 2x + ex + cosx
f"(x) = 2x + xex - cosx
f"(x) = 2x + ex + sinx