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Derivatives Flashcards | StudBud

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Derivatives

6 terms·StudBud Administration·31 plays

Simple derivatives and differentiation rules used in Calculus

Flashcards6 cardsFPractice quizPHost liveL

Questions 6

Answers

1
If g(x)=4\ln(x)+4\cos(x), then g'(x) is
\frac{4}{x}-4\sin\left(x\right)
\frac{1}{4x}-4\sin\left(x\right)
4e^x-4\sin\left(x\right)
\frac{1}{x}+\sin\left(x\right)
2
True or False: If f is not differentiable at x, f is not continuous at x.
True
False
3
True or False: If f is differentiable at x, f is continuous at x.
False
True
4
Let h(x)=f(x)/x². If f(3)=2 and f'(3)=4, then h'(3) is
8/3
16/3
16/27
8/27
5
If f(x)=\frac{\sin(x)}{\cos\left(x\right)} then f' is
\frac{\cos\left(x\right)}{\sin\left(x\right)}
\frac{1}{\sin^2\left(x\right)}
-\frac{\cos\left(x\right)}{\sin\left(x\right)}
(sec(x))2
6
If f(x)= sin(x) then f' is
f(4)(x)
cos(x)
-f''(x)
all of the above