chain rule and trig derivatives

Calcula la derivada de la función:

f(x)=5(x²+3x)⁴

• f´(x)=20(x²+2x)³(2x+3)

• f´(x)=9(x²+3x)³(2x+3)

• f´(x)=20(x²+3x)³(2x+3)

• f´(x)=(x²+3x)³(2x)

Find dy/dx for 
y = (x² + 1)³

• dy/dx = 3(x² + 1)²
• dy/dx = 3(2x)²
• dy/dx = 3(x² + 1)²(2x)
• dy/dx = 2x(x² + 1)²

Find the derivative of f(x)=(x³-2x)²

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

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

• A

• B

• C

• D

• E

Differentiate:
f(x) = x⁷ (5 + 8x)³

• f '(x) = x² (5 + 8x)⁶ (35 + 80x)
• f '(x) = x⁶ (5 + 8x)² (35 + 80x)
• f '(x) = 8x⁷ (5 + 8x)² (35 + 80x)
• f '(x) = x⁶ (5 + 8x)³ (35 + 80x)

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find an equation of the tangent line to the graph of f(x) at the point (1, 100)
f(x) = (5x⁵ + 5)²

• y = 500x + 400
• y = 100x + 400
• y = -500 x - 400
• y = 500x - 400

Find H'(1)

• 6

• 9

• 12

• 3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2