Derivative Rules II

Calculate the derivative.

• f'(x)=x²cos(x)+2xsin(x)

• f'(x)=x²sin(x)+2xcos(x)

• f'(x)=x²sin(x)+2xsin(x)

Calculate the derivative using the product rule

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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

Find the derivative.
y = 2 / (2x⁴ − 5)

• y ′ = -16x³ / (2x⁴-5)
• y′ = 4x⁶ + 8x³ + 4
• y′ = 16x³

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• cscx cotx
• secx tanx
• sec²x
• -cscx cotx

find 

• y = 2 x^-1
• y=2 x^-2
• y= −2x^-2
• y= −2 x^-1

Tags

CCSS.HSF-IF.C.7D

Calculate the derivative of g(x) = e^x * cos(x)

• e^x * (-sin(x) + cos(x))

• e^x * (sin(x) + sin(x))

• e^x * (sin(x) + cos(x))

• e^x * (sin(x) - cos(x))