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If y = 3x^2 + 2x, find dy/dx at x = 2.

Practice Questions

Q1
If y = 3x^2 + 2x, find dy/dx at x = 2.
  1. 14
  2. 18
  3. 22
  4. 26

Questions & Step-by-Step Solutions

If y = 3x^2 + 2x, find dy/dx at x = 2.
Correct Answer: 14
  • Step 1: Start with the equation y = 3x^2 + 2x.
  • Step 2: Differentiate y with respect to x to find dy/dx. The derivative of 3x^2 is 6x, and the derivative of 2x is 2.
  • Step 3: Combine the derivatives to get dy/dx = 6x + 2.
  • Step 4: Substitute x = 2 into the derivative. So, dy/dx = 6(2) + 2.
  • Step 5: Calculate 6(2) which equals 12, then add 2 to get 14.
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