Power, Product, Quotient, Chain Rule

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

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

Find the first derivative of the function
f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴
• f'(t) = 5(t² + 2t)⁴
•  f'(t) = 5(t² + 2t)⁴(2t)
• f'(t) = 5(t² + 2t)⁴(2t + 2)

• 12x⁴ +3x²
• 20x⁴ +3x² +16
• 3x⁵ +32x³ +6x² +8x
• 24x³

Tags

CCSS.HSA.APR.A.1

Find the first derivative of the function given.

• 8x⁴ -60x²
• 16x⁴
• (8x⁴ -60x²)/(2x²-5)²
• 3x

Which rule would you need to use to find the first derivative of f(x)?

• Power Rule
• Product Rule
• Quotient Rule
• Chain Rule

Find the first derivative of  f(x) = (x⁶ + 4)⁵

• f '(x) = 5x⁵(x⁴ + 4)⁴
• f '(x) = 6x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁵(x⁶ + 4)⁴
• f '(x) = 30x⁶(x⁶ + 4)⁴

Find the first derivative of f(x)=(x³-2x)²

• 6x⁵ - 12x³+8x
• 6x⁵ - 16x³+8x
• x⁶-4x⁴+4x²
• 6x⁵ - 16x^3-8x

Find y' for y=(e^5x)+1 .

• 5e^5x+1

• e^5x

• 5e^5x

• 1

Find y' for y= (2x+1)¹⁰

• 10(2x+1)⁹

• 20(2x-1)⁹

• 20(2x+1)¹⁰

• 20(2x+1)⁹

Tags

CCSS.HSA.APR.C.4

find y' for y= sin(2x²)

• 4sin(2x²)

• 4xcos(2x²)

• 2xcos(2x²)

• xcos(4x²)