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Common Derivatives Flashcards | StudBud

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Common Derivatives

20 terms·StudBud Administration·18 plays

Calculus common derivatives including log/ln, e, exponential, and trig. There is one instance of chain rule.

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Questions 20

Answers

1
What is the derivative of \sin x
\tan x
\cos x
-\cos x
-\sin x
2
What is the derivative of e^x?
x\cdot e^x
\frac{1}{x}
x
e^x
3
What is the derivative for \log x?
\frac{1}{\ln x}
x\ln10
x\ln x
\frac{1}{x\ln10}
4
What is the derivative of \csc x
\sec^2x
-\sin x
-\csc x\cot x
\csc^2x
5
What is the derivative of \cot x
\sec x\tan x
-\csc^2x
\sec^2x
-\csc x\cot x
6
What is the derivative of \csc x
\sec^2x
-\csc x\cot x
-\sin x
\csc^2x
7
What is the derivative of \log_2x
\frac{1}{2\ln x}
\frac{1}{x\ln2}
\frac{1}{\ln2}
\frac{2}{\ln x}
8
What is the derivative of \tan x
\sec x\tan x
-\csc^2x
\sec^2x
\csc x\cot x
9
What is the derivative of \log_4x
\frac{1}{x\ln4}
\frac{1}{\ln4}
\frac{1}{4\ln x}
\frac{4}{\ln x}
10
What is the derivative of 4^x
4^x\ln4
x\ln4
4\ln x
4^x\ln x
11
What is the derivative of \cot x
-\csc x\cot x
\sec x\tan x
\sec^2x
-\csc^2x
12
What is the derivative of \cos\left(x\right)?
\cos x
\sin x
-\sin x
\sin^2x
13
What is the derivative of e^x?
x
\frac{1}{x}
x\cdot e^x
ex
14
What is the derivative of 7e^x?
x\cdot e^x
7x
7ex
\frac{7}{x}
15
What is the derivative of 7^x
7^x\ln x
7^x\ln7
7\ln x
x\ln7
16
What is the derivative of \sec x
-\csc^2x
\sec^2x
-\csc x\cot x
\sec x\tan x
17
What is the derivative for \ln x?
\frac{1}{x}
\frac{x}{1}
x
x\ln x
18
What is the derivative of e^{2x}
e^x
2x\cdot e^{2x}
e^{2x}
2\cdot e^{2x}
19
What is the derivative of \tan x
\sec^2x
-\cos x
\tan x
-\sec^2x
20
What is the derivative of tan(x)
\sec x\tan x
-\sin x
\sec^2x
\sec x