
Calculus Ch. T Review WS A
Authored by Matthew Potthoff
Mathematics
12th Grade
CCSS covered

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11 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the 6th derivative of $ f(x) = -\cos x $.
-\cos x
$ \sin x $
-$ \sin x $
$ \cos x $
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of $ y = \ln 8x $ with respect to $ x $.
$ \frac{1}{x} $
$ \frac{1}{8x} $
$ \frac{1}{x} + \ln 8 $
$ \frac{1}{x} + 8 $
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of $ y = \ln 4x^3 $ with respect to $ x $.
$ \frac{3}{x} $
$ \frac{3}{4x^3} $
$ \frac{3}{x} + \ln 4 $
$ \frac{3}{x} + 4 $
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Differentiate $ \frac{d}{dx} \ln \sqrt{4x^3 - 3x} $.
$ \frac{6x - 3}{4x^3 - 3x} $
$ \frac{6x - 3}{2(4x^3 - 3x)} $
$ \frac{12x^2 - 3}{4x^3 - 3x} $
$ \frac{12x^2 - 3}{2(4x^3 - 3x)} $
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of the function $ f(x) = \ln(x + 4) $ at $ x = 4 $.
$ \frac{1}{8} $
$ \frac{1}{4} $
$ \frac{1}{5} $
$ \frac{1}{6} $
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Find the derivative of $ y = \frac{\ln x}{2x^4} $ with respect to $ x $.
$ \frac{1 - 4\ln x}{2x^5} $
$ \frac{4\ln x - 1}{2x^5} $
$ \frac{1 + 4\ln x}{2x^5} $
$ \frac{1 - 4\ln x}{x^5} $
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