Quotient and Product Rules

Find the first step of the derivative of y = 2x² (3x - 4) using the product rule.

• 6x³ - 8x²

• 2x² (3) + (3x - 4)(4x)

• (3x)(2x²) + (4x² )(3x - 4)

• 4x² (3)

Which option is using correctly the quotient rule?

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Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³

• 12x⁷+36x²

• 32x⁷+36x²

• 20x⁶

• y¹⁵
• y⁵⁰
• y²
• y⁵

• 2a⁴b⁴
• 4a³b⁴
• 4a⁸b⁵
• 2a⁴b³

Quotient Rule states: keep the base the same and do this to the exponents.

• multiply

• add

• subtract

• divide

• x²
• x³
• x
• x⁵

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

Find f'(x) if       
f(x)=(2x-7)/(x+3) 

• 2

• 13/(x+3)²

• -4/(x+3)²

• -13/(x+3)

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