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Review of Derivatives Flashcards | StudBud

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Review of Derivatives

7 terms·StudBud Administration·21 plays

Review of derivatives - power rule, product rule, chain rule, trig, implicit.

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Questions 7

Answers

1
Find the derivative of f(x) = (2x+1)³
6(2x+1)2
3(2)2
12(2x+1)
3(2x+1)2
2
Find the derivative of f(x) = cot(x⁴)
-4x3csc2(x4)
-4x3sec2(x4)
-csc2(x4)+4x3
-csc2(x4)
3
Find the derivative of f(x) = tan(x)+x³
sec2(x)+3x2
sec2(x)+3x
csc2(x)+3x2
tan(x)+3x2
4
Find the derivative of f(x) = x⁵cosx
5x4cosx+x5sinx
-5x4cosx
5x4cosx-x5sinx
-5x4sinx
5
Find the derivative of f(x) = 5/x³
-15x2
-15/x2
-15x4
-15/x4
6
Find the derivative of f(x) = xsec(x)
xsec(x)tan(x)+sec(x)
sec2(x)+xsec(x)
sec(x)tan(x)
xsec(x)tan(x)
7
Solve for dy/dx: 3x²y - 5y = -17x
(6x) / (5 - 3x2)
(6xy) / (5 - 3x2)
(-17 + 6xy) / (5 - 3x2)
((6x)6y) / (5 - 3x2)