differentiation

What is the derivative of xⁿ?

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

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

• 3x²
• x³
• 6x
• 3x² + x³

Tags

CCSS.6.EE.A.4

Find the slope of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 2x²+3

Tags

CCSS.8.EE.B.5

Find the derivative of:
f(x) = 7(3x + 4)⁵

• 35(3x + 4)⁵
• 35(3x + 4)⁴
• 105(3x + 4)⁵
• 105(3x + 4)⁴

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• General Power Rule

What is the derivative of y = 2π?

• 0

• 2

• -2

• None of the above

What rule should be used in deriving h(x) = 2(x - 4)³

• Power rule

• Product rule

• Quotient rule

• General Power Rule

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What rule should be used in deriving f(x) = x⁵

• Constant rule

• Sum rule

• Power rule

• Difference rule