Differentiation A Quiz: 15 Practice Questions

Authored by Annie Mehalchick

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

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15 questions

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MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find the derivative of: $f(x)=-\frac{5}{x^4}$

$-\frac{20}{x^5}$

$\frac{20}{x^5}$

$-\frac{20}{x^3}$

$\frac{20}{x^3}$

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Differentiate $y=\frac{3x^4-4x^3}{x^2}$

$\frac{dy}{dx}=3x^2-4x$

$\frac{dy}{dx}=6x^{ }-4$

$\frac{dy}{dx}=6x^2-4$

$\frac{dy}{dx}=3x^2-4$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

MULTIPLE SELECT QUESTION

1 min • 1 pt

$\frac{df}{dx}$ gives us...(check all that apply)

the slope of the tangent line

the slope of the normal line

the limit of a difference quotient

the derivative of the function $f\left(x\right)$ with respect to $x$

$\lim_{\Delta x\rightarrow0}\left(\frac{f\left(x+\Delta x\right)-f\left(x\right)}{\Delta x}\right)$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\frac{d}{dx}$ means...

the derivative

to take the derivative

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of cot(x)?

sec²(x)

-sec²(x)

csc²(x)

-csc²(x)

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of sec(x)?

sec(x)tan(x)

csc(x)cot(x)

-sec(x)tan(x)

-csc(x)cot(x)

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Differentiation A

Find the derivative of: f(x)=−5x4f(x)=-\frac{5}{x^4}f(x)=−x45​

Differentiate y=3x4−4x3x2y=\frac{3x^4-4x^3}{x^2}y=x23x4−4x3​

dfdx\frac{df}{dx}dxdf​ gives us...(check all that apply)

ddx\frac{d}{dx}dxd​ means...

What is the derivative of cot(x)?

What is the derivative of sec(x)?

What is the derivative of csc(x)?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the derivative of: $f(x)=-\frac{5}{x^4}$

Differentiate $y=\frac{3x^4-4x^3}{x^2}$

$\frac{df}{dx}$ gives us...(check all that apply)

$\frac{d}{dx}$ means...