Derivatives

• 4x²+8x+1
• 20x⁶+5x⁴
• 28x⁶+5x⁴-16x

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

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

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

 $x^2\left(-3x^2-2\right)$  

•  $-6x^3-4x$  

•  $-12x^3-4x$  

•  $12x^3+4x$  

•  $-36x^2-4$  

• 120x⁷ + 90x⁵ + 88x³ + 50x
• 15x⁸ + 255x⁶ + 142x⁴ + 25x² - 5
• 60x⁷ + 30x⁵ + 100x³ + 50x
• 60x⁷ + 60x⁵ - 12x³

• x⁵ + 5x⁴ + 2x³ + 6x² + 5
• 28x⁶ + 45x⁴ + 6x² + 40x
• 4x² + 8x + 1
• 4x⁷ + 49x⁵ + 50x³ + 20x² + 5

Find the derivative.
y = x² / (3x-1)

• y' = 9x² - 12
  y' = (3x-1) / (3x-1)²
• y' = (3x² - 2x) / (3x-1)²
• y' = (6x+1)² / 3

Given that y = (x+2)/(x-3), find y'.

• y' = -1/(x-3)²
• y' = -5/(x-3)²
• y' = (2x-5)/(x-3)²
• y' = (2x-1)/(x-3)²

What is the derivative of f?

• 1/(x - 1)^-1

• -1/(x - 1)^-2

• -1/(x - 1)

• -1/(x - 1)²

Quotient Rule with respect to the derivative.  f/g

• (gf'-fg')/g^2
• (gf'+fg')/g^2
• (fg'-gf')/f^2