CHAIN RULE

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

Tags

CCSS.HSA.APR.A.1

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• B

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• D

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CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

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Use a calculator to evaluate the derivative at a point.

• 19.79898987

• 16.97056275

• 13.85640646

• 28.28427125

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CCSS.HSF.IF.A.2

find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

Tags

CCSS.HSA.APR.C.5

Differentiate:
f(x) = x⁷ (5 + 8x)³

^{(you need to use product rule)}

Mathematical Equivalence

ON

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.A.1

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

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Tags

CCSS.HSA.APR.A.1