Chain Rule

Differentiate cos(1-3x)

• -sin(1-3x)

• -3cos(1-3x)

• 3sin(1-3x)

• -3cos(1-3x)sin(1-3x)

Differentiate cos(x²+x)

• (-2x-1)sin(x²+x)

• -sin(x²+x)

• (-2x+1)sin(x²+x)

• -sin(x²+x)cos(x²+x)

Differentiate sin(2x-2)

• 2cos(2x-2)

• cos(2x-2)

• 2sin(2x-2)cos(2x-2)

• 2sin(2x-2)

Find the derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Find the derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

• A

• B

• C

• D

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find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

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