Home Library Explore SAT

Home Library Explore SAT

Calculus Derivatives Flashcards | StudBud

Explore/Calculus Derivatives

If g\left(x\right)=12\sin\left(\frac{x}{9}\right), what is g'\left(3\pi\right)

What is y'? y=2^x\sin x

Calculus Derivatives

8 terms·StudBud Administration·58 plays

Imported from external platform

Flashcards8 cardsFPractice quizPHost liveL

Questions 8

Answers

1
What is y'? y=2^x\sin x
y'=2^x\left(\ln2\sin x+\cos x\right)
y'=2^x⋅\ln2⋅\cos x
y'=\frac{\cos x}{2^x}
y'=2^x\left(\sin x+\cos x\right)
2
If g\left(x\right)=12\sin\left(\frac{x}{9}\right), what is g'\left(3\pi\right)
6\sqrt{3}
\frac{\sqrt{3}}{4}
\frac{2}{3}
Undefined
3
What is y'? y=x\log_5x
y'=\log_5x+\frac{x}{\ln5}
y'=\log_5x+\frac{1}{x}
y'=x+\frac{x}{\ln5}
y'=\log_5x+\frac{1}{\ln5}
4
What is y''? y=\frac{2}{3}x^{\frac{9}{2}}-8x^2
y''=\frac{21}{2}x^{\frac{5}{2}}-16
y''=\frac{7}{6}x^{\frac{5}{2}}-16
y''=9x^{\frac{7}{2}}-16x
y''=3x^{\frac{7}{2}}-16x
5
What is y'? y=\log_6\left(x^5\right)
y'=5x^4\log_6\left(x^5\right)
y'=\frac{5}{x\ln6}
y'=\frac{5}{\ln6x}
y'=\frac{5x^4}{\log_6\left(x^5\right)}
6
What is y'? y=\csc\left(8x\right)
y'=-8\csc\left(x\right)\cot\left(x\right)
y'=-8\csc\left(8x\right)\cot\left(8x\right)
y'=-\csc\left(8x\right)\cot\left(8x\right)
y'=-\csc\left(64x\right)\cot\left(64x\right)
7
If f\left(x\right)=\sec2x, what is f'\left(\frac{\pi}{8}\right)?
2\sqrt{2}
2\sqrt{3}
\sqrt{2}
\sqrt{3}
8
What is y'? y=\sin\left(7^x\right)
y'=\cos\left(7^x\right)⋅x⋅7^{x-1}
y'=7^x\cos\left(7x\right)
y'=\frac{\cos\left(7^x\right)}{\ln7}
y'=\cos\left(7^x\right)⋅7^x⋅\ln7