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If y = 3x^2 + 2x, find dy/dx at x = 2.
If y = 3x^2 + 2x, find dy/dx at x = 2.
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Practice Questions
1 question
Q1
If y = 3x^2 + 2x, find dy/dx at x = 2.
14
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22
26
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First, find dy/dx = 6x + 2. At x = 2, dy/dx = 6(2) + 2 = 12 + 2 = 14.
Questions & Step-by-step Solutions
1 item
Q
Q: If y = 3x^2 + 2x, find dy/dx at x = 2.
Solution:
First, find dy/dx = 6x + 2. At x = 2, dy/dx = 6(2) + 2 = 12 + 2 = 14.
Steps: 5
Show Steps
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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