Derivative Rules

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$  

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

Let f(x) = (x - 1)(x + 2). Find f'(0)

• 0

• 1

• 2

• 3

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

Which rule would you need to use?

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

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Find the 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

• A

• B

• C

• D

• 19.79898987

• 16.97056275

• 13.85640646

• 28.28427125

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