Derivative of \( \displaystyle 9 x^{2} - 6 x \)

Problem 2.2063 · medium

1. \[ \frac{d}{d x} \left(9 x^{2} - 6 x\right) \]
   derivativeWe start by setting up the derivative of the function.✓ Proved
2. \[ = - \frac{d}{d x} 6 x + \frac{d}{d x} 9 x^{2} \]
   sumThe derivative of a sum is the sum of the derivatives.✓ Proved
3. \[ = - 6 \frac{d}{d x} x + 9 \frac{d}{d x} x^{2} \]
   constant-multipleWe can pull the constants out of the derivatives.✓ Proved
4. \[ = 18 x - 6 \]
   power algebraApply the power rule to each term. Multiply the constants.✓ Proved