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Find the coordinates of the minimum point of the curve y=2x2+13.

Question

Find the coordinates of the minimum point of the curve y=2x2+13.

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Solution

To find the minimum point of the curve y = 2x^2 + 13, we need to find the derivative of the function and set it equal to zero.

Step 1: Find the derivative of the function. The derivative of y = 2x^2 + 13 is dy/dx = 4x.

Step 2: Set the derivative equal to zero and solve for x. Setting 4x = 0 gives x = 0.

Step 3: Substitute x = 0 into the original function to find the y-coordinate of the minimum point. Substituting x = 0 into y = 2x^2 + 13 gives y = 13.

Therefore, the coordinates of the minimum point of the curve y = 2x^2 + 13 are (0, 13).

This problem has been solved

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