Find the correct answer to the following...

f'\left(g\left(x\right)\right)g'\left(x\right)

Which of the following is the correct derivative definition?

\lim_{x\to a}\frac{f\left(x\right)-f\left(a\right)}{x-a}

Which of the following is the correct derivative definition?

\lim_{Δx\to0}\frac{f\left(x+Δx\right)-f\left(x\right)}{Δx}

studbud

Calculus Review of Derivatives

12 termsStudBud Administration29 plays

Imported from external platform

Flashcards12 cardsFPractice quizPHost liveL

Questions 12

Answers

1
Find the correct answer to the following...
\frac{1}{\ln x}
\frac{1}{\ln a}
\frac{1}{x\ln a}
\frac{1}{a\ln x}
2
Find the correct answer to the following...
-\csc^2x
\csc x\cot x
\cot^2x
\sec^2x
3
Find the correct answer to the following...
\frac{tb'-bt'}{b^2}
\frac{bt'+tb'}{b^2}
\frac{bt'-tb'}{b^2}
\frac{tb'-bt'}{t^2}
4
Find the correct answer to the following...
\frac{1}{1-x^2}
\frac{1}{\sqrt{1+x^2}}
\frac{1}{\sqrt{1-x^2}}
\frac{1}{1+x^2}
5
Find the correct answer to the following...
\cot^2x
-\csc^2x
\csc x\cot x
\csc^2x
6
Find the correct answer to the following...
g'\left(f\left(x\right)\right)f'\left(x\right)
f'\left(g\left(x\right)\right)g'\left(x\right)
f\left(g'\left(x\right)\right)g\left(x\right)
f'\left(g'\left(x\right)\right)g\left(x\right)
7
Find the correct answer to the following...
\frac{1}{\sqrt{1-x^2}}
\frac{1}{\sqrt{1+x^2}}
\frac{1}{1+x^2}
\frac{1}{1-x^2}
8
Find the correct answer to the following...
u'v'+vu
vu'-uv'
uv'
uv'+vu'
9
Find the correct answer to the following...
\cot^2x
^{\csc^2x}
-\csc x\cot x
\csc x\cot x
10
Which of the following is the correct derivative definition?
\lim_{x\to a}\frac{f\left(x\right)+f\left(a\right)}{x+a}
\lim_{x\to a}\frac{f\left(x\right)-f\left(a\right)}{x-a}
\lim_{x\to a}\frac{f\left(x-a\right)-f\left(x\right)}{a}
\lim_{x\to a}\frac{f\left(a\right)-f\left(x\right)}{a-x}
11
Which of the following is the correct derivative definition?
\lim_{Δx\to0}\frac{f\left(x+Δx\right)+f\left(x\right)}{Δx}
\lim_{Δx\to0}\frac{f\left(x+Δx\right)-f\left(Δx\right)}{x}
\lim_{Δx\to0}\frac{f\left(Δx\right)-f\left(x\right)}{Δx}
\lim_{Δx\to0}\frac{f\left(x+Δx\right)-f\left(x\right)}{Δx}
12
Find the correct answer to the following...
\csc x\cot x
-\sec x\tan x
\sec x\tan x
\tan x

Calculus Review of Derivatives Flashcards | StudBud