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Derivatives Using Product Rule Flashcards | StudBud

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Derivatives Using Product Rule

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Derivatives in Calculus

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Questions 4

Answers

1
What is the derivative of f(x)= (3X-2X²) (5+4X)
= -24X2 -4
=24X2+4X
= (-4X3 +3)( 4)
= -24x2 +4x+15
2
What is the derivative of f(x)= 2x⁵(secx)
x4( secx) ( 10- xtanx)
x4( secx) ( 10- xtanx)(secx)
2x4 (secx)(5+xtanx)
x4( secx) ( 10+ tanx)
3
What is the derivative of f(x)= x (sinx)
sinx + cosx
x (cosx)
sinx- x ( cosx)
sinx + x ( cosx)
4
What is the derivative of f(x)= x³(cosx)
x2(-sinx)
x2(3cosx-xsinx)
3x2(-sinx)
x2(3cosx+xsinx)