Derivatives Product Rule

Find the derivative of the given function

f(x) = x³ + x² + 3

• 3x² + 2x

• 3x + 2x

• 3x + 2x + 3

• x³ + x²

What is the derivative of y = 2π?

• 0

• 2

• -2

• None of the above

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

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

Find the derivative.

• x⁴ cosx - 4x³sinx
• x⁴ cosx + 4x³sinx
• 4x³cosx
• -4x³cosx

Given f (x) =  − 3x³cosx

• 3x³cosx + 9x²sinx
•  − 3x³sinx + 9x²cosx
•   3x³sinx + 9x²cosx
•  3x³sinx − 9x²cosx

Differentiate y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

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

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

Find y'

• 4x²+8x+1

• 20x⁶+5x⁴

• 28x⁶+5x⁴-16x

Tags

CCSS.HSA.APR.A.1

• 5x⁴ + 20x³ - 2
• -160x⁷+140x⁶ - 48x³ - 24x²
• -80x⁷+ 60x⁶ + 32x³ - 24x²

Tags

CCSS.HSA.APR.A.1

Use the product rule to determine the derivative.

• 4x⁸+60x⁶+12x³
• 12x⁷+36x²
• 32x⁷+36x²
• 20x⁶

Tags

CCSS.HSA.APR.A.1