untitledPruct Rule & quotient rule derivatives

• 12x⁴ +3x²
• 20x⁴ +3x² +16
• 3x⁵ +32x³ +6x² +8x
• 24x³

Tags

CCSS.HSA.APR.A.1

Which of the following are synonyms for find the derivative?

• f'(x)

• dy/dx

• y'

• slope of the tangent line

• instantaneous rate of change

Given u(x) = f(x)g(x), f(2) = 3, g(2) = -3, f '(2) = 5, and g'(2) = 1,

then u'(2) = ?

• -12

• 4

• 5

• 12

• 16x⁴

Tags

CCSS.HSF-IF.C.7D

Tags

CCSS.HSF-IF.C.7D

• -11/16

• -5/16

• 11/16

• 5/16

Given f (x) = 5sinx + 3x³cosx, f '(x) =

• -5cosx − 3x³sinx + 9x²cosx
• 5sinx − 3x³sinx + 9x²cosx
• 5cosx − 3x³sinx + 9x²cosx
• 5cosx + 3x³sinx + 9x²cosx

• cos x - x sin x

• cos x + x sin x

• sin x - x cos x

• sin x + x cos x

• - sin x