lim ⁡ h → 0 ( f ( x + h ) − f ( x ) h ) \lim_{h\rightarrow0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right) h → 0 lim ( h f ( x + h ) − f ( x ) )

lim ⁡ x → c ( f ( x ) − f ( c ) x − c ) \lim_{x\rightarrow c}\left(\frac{f\left(x\right)-f\left(c\right)}{x-c}\right) x → c lim ( x − c f ( x ) − f ( c ) )

d y d x \frac{\text{d}y}{\text{d}x} d x d y

an equation for the slope of the tangent line

This is NOT a correct notation for a derivative

f '(x) (say it as "f prime of x")

f'(g(x)) ⋅ g'(x) is what derivative rule?

It is the definition of a derivative.

2.9 Derivatives Rules Quiz

Authored by ALICE BREA

Mathematics

12th Grade - University

CCSS covered

Used 68+ times

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.A.1

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which option is using correctly the quotient rule?

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Which option shows the derivative?

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the derivative of: f(x) = x⁴sinx

x⁴cosx - 4x³sinx

x⁴cosx + 4x³sinx

4x³cosx

-4x³cosx

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.TF.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Given h(x) = f (x) + g(x), find h'(1)

Tags

CCSS.HSF-BF.A.1B

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2.9 Derivatives Rules Quiz

Which option is using correctly the quotient rule?

Which option shows the derivative?

Determine the derivative of: f(x) = x⁴sinx

Given h(x) = f (x) + g(x), find h'(1)

Given n(x) =f (x)g(x) , find n'(4)

Find h'(3)

Access all questions and much more by creating a free account

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Popular Resources on Wayground

Discover more resources for Mathematics

2.9 Derivatives Rules Quiz

Which option is using correctly the quotient rule?

Which option shows the derivative?

Determine the derivative of: f(x) = x4sinx

Given h(x) = f (x) + g(x), find h'(1)

Given n(x) =f (x)g(x) , find n'(4)

Find h'(3)

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Determine the derivative of: f(x) = x⁴sinx