Product and Quotient Rule for Derivatives

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²
• 18x² - 16x
• 15x² - 6x
• 6x - 4

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

• f'(x)
• y'
• dy
• dy/dx

Derivative means the same thing as

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

Given that the position function for a particular object is given by
s(t) = t³ - 3t +5, find the velocity of the object at t = 2 seconds. 

• 51
• 12
• 9
• 6

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

Is differentiating the same as taking the derivative?

• yes

• no

• sometimes

• 16x⁴

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)