Derivatives Review (Oct 17)

This rule is used to differentiate functions of the form f(x) = x^r, whenever r is a real number.

• The Sum, Difference, and Constant Multiple Rules

• The Product Rule

• The Quotient Rule

• The Power Rule

The derivative of a constant is

• two

• five

• one

• zero

Derivative means the same thing as

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

What is the derivative power rule of xⁿ?

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

Tags

CCSS.HSF-IF.C.8B

At which point(s) will the slopes of the tangent line be zero?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Find the first step of the derivative of y = 2x² (3x - 4) using the product rule.

• 6x³ - 8x²
• 2x² (3) + (3x - 4)(4x)

• (3x)(2x²) + (4x² )(3x - 4)

• 4x² (3)

Tags

CCSS.HSF.IF.A.2

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Tags

CCSS.HSA.REI.A.1