Calculus Quizziz Assignment Sept 30

Calculate the derivative.

• f'(x)=x²cos(x)+2xsin(x)

• f'(x)=x²sin(x)+2xcos(x)

• f'(x)=x²sin(x)+2xsin(x)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Calculate the derivative.

• f'(x)= -5xsin(x)+cos(x)

• f'(x)= 5xsin(x)+5cos(x)

• f'(x)= -5xsin(x)+5cos(x)

Calculate the derivative.

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• 

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Calculate the derivative.

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• 
• 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

What is the mathematical definition of the product rule?

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Given y = sinx⋅cosx, y ' =

• -cosx⋅sinx
• sinx

• -sin²x + cos²x
• sin²x − cos²x

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

• 10

• 11

• 12

• 13

Tags

CCSS.HSF.IF.C.7