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Earn +20 ptsQ: Find the derivative of 2x2
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The total derivative of 2x2 plus 7?
4x
What is the derivative of 2x2 plus 3x plus 7?
d/dx 2x2+3x+7=4x+3
What is the derivative of 1 over 2 x?
d/dx(1/2x) = -1/(2x2)
What is the vertex of -2x2 plus 2x plus 3?
Since this question is in the calculus section, I'm assuming you know how to take the derivative. We know that y = -2x2 + 2x + 3 is a parabola, so it has one vertex, which is a minimum. We can use the first derivative test to find this extreme point.First, take the derivative:y' = -4x + 2Next, set y' equal to zero:0 = -4x + 2Then solve for x:4x = 2x = 2This is the x-coordinate of the vertex. To find the y-coordinate, plug x = 2 back into the original equation:y = -2x2 + 2x + 3y = -8 + 4 + 3y = -1So the vertex is at (2, -1).
How do you find the vertex of 2x2 plus 4 plus 1?
2x2 + 4 + 1 = 2x2 + 5 So, the vertex is (0, 5)
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