Product/Quotient Rule of Derivatives

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Tags

CCSS.HSF-IF.C.7D

Differentiate (2x + 2)(x - 5)⁸ with respect to x.

• (2x + 2)(x - 5)⁷ + 2(x - 5)⁸
• 8(2x + 2)(x - 5)⁷ + 2(x - 5)⁸
• 2(x - 5)⁸
• 16(x - 5)⁷

What is the derivative of csc(x)?

• csc(x)cot(x)
• -csc(x)cot(x)
• -csc²(x) 
• -cot²(x)

Quotient Rule with respect to the derivative.  f/g

• (gf'-fg')/g^2
• (gf'+fg')/g^2
• (fg'-gf')/f^2

Tags

CCSS.HSA.APR.D.7

Find the derivative of f(x) = x²sinx

• f'(x) = 2xsinx - x²cosx
• f'(x) = 2xsinx + x²sinx
• f'(x) = 2xsinx + x²cosx
• f'(x) = 2xcosx

Tags

CCSS.HSA.SSE.B.3

How many derivatives can you take of a function?

• only 3
• only 2
• only 1
• until you can no longer derive it

Tags

CCSS.HSF.IF.A.2

secxtanx is the derivative of which function?

• tanx
• cotx
• secx
• cscx

• 4x²+8x+1
• 20x⁶+5x⁴
• 28x⁶+5x⁴-16x

Tags

CCSS.HSA.APR.A.1