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Derivatives Flashcards | StudBud

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Derivatives

6 terms·StudBud Administration·17 plays

Overview of what was learned during calculus this year. Derivatives are the easiest things we have learned in this class.

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Questions 6

Answers

1
Find the derivative of y= (3x+1)²
yI=18x+6
yI=1/3(3x+1)^3
yI=6(3x+1)
yI=2(3x+1)
2
Find the derivative of y=\ln(\frac{x^2}{4(x^2-3)})
yI=2Ln x - 4 Ln (x2-3)
yI=2Ln (1/x) - 4Ln (2x/x2-3)
yI=(2/x)-(8x/x2-3)
yI=0
3
Find the derivative of y = 3sinx - 4cosx
yI=3cos - 4 -sin x
yI=3cos x + 4sin x
yI= -3cos x - 4sin x
yI= -3cos x + 4sin x
4
Find the derivative off\left(x\right)=\frac{x^3}{x+4}
fI(x)= (2x3+12x2)/(x+4)2
fI(x)= (x3+6)/(4x+8)
fI(x)= (2x3-12x2)/(x+8x+16)
fI(x)= (3x3+12x2-x3)/(x+4)2
5
Find the derivative of y = tan(sin x)
yI= sec2 (sin x)
yI= sec2 (sin x) cos x
yI= tan x(cos x) + sin x(sec2)
6
Find the derivative of y = x³ ln x
yI= x2 - 3x2 Ln x
yI= x2 (1+3Ln x)
yI= x2 + 3x2 Ln x