Derivatives, practice

Find the derivative:
y = (4x - 5)(2x + 3)

• 8
• 8x
• 16x
• 16x + 2

Tags

CCSS.HSA.APR.A.1

Find f '(2)  if
f(x) = x² + 2x

• 2x + 2
• 6
• 12
• 2x

Tags

CCSS.HSF.IF.A.2

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

d/dx (sin²x) = ?

• 2sin x
• 2(sin x)(cos x)
• 2cos x
• 2x(cos x)

Tags

CCSS.HSF.IF.C.8

When do you use the chain rule?

• anytime you want
• when there is a function in a function
• where there are multiple layers to a lasagna (yum)
• when there is division

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

Find the derivative of g(x)=(3x-2)/(x²+2)

• 9x²+2
• 3(x²+2)/(x²+2)²
• (-3x²+4x +6)/(x²+2)²
• (-3x²+10)/(x²+2)²

Tags

CCSS.HSA.APR.D.7

Find the derivative: h(x)=(3x+2)(5x³+2x)

• 60x³+30x +12x-4
• 60x³-30x²+12x-4
• 45x³+30x²+12x+4
• 60x³+30x²+12x+4

Tags

CCSS.HSA.APR.A.1

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Tags

CCSS.HSA.REI.D.10

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