Derivative Up To Chain Rule

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSA.APR.A.1

find 

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

Tags

CCSS.HSF-IF.C.7A

Set up the derivative of y=(3x⁴ - 7)*(5x² + 1)

• (12x³)*(10x)
• (3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)
• (3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)
• (3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Tags

CCSS.HSA.APR.A.1

Which of the following is the derivative of the function h(x)= (8x⁶ + 2x + 5)^{4 ?}

• h^'(x)= 4(8x⁶ + 2x + 5)³(48x⁵ + 2)

• h^'(x)= 4(48x⁵ + 2)³

• h^'(x)= 4(48x⁵ + 2 + 5)³

• h^'(x)= 3(8x⁶ + 2x + 5)⁴(48x⁵ + 2)²

What is the equation of the line tangent to the curve y = -x² + 3 at (1, 2)? Refer to page 139, example 12

• y = 2x - 4

• y = -2x - 4

• y = -2x + 4

• y = 2x + 4

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

• 19.79898987

• 16.97056275

• 13.85640646

• 28.28427125

Tags

CCSS.HSA.REI.A.2

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)

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Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

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• 

Tags

CCSS.HSA.REI.A.2

Find dy/dx if y = cos⁵x

• 5cos⁴x
• -5sin⁴x
• 5cos⁴xsinx
• -5cos⁴xsinx