Product Rule Derivatives

Derivative means the same thing as

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

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

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

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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)

Which of the following are synonyms for find the derivative?

• f'(x)

• dy/dx

• y'

• slope of the tangent line

• instantaneous rate of change

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)