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.
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).
Similar Questions
Find the coordinates of the minimum point of the curve y=2x2+1.
Find the arc length of the curve over the interval(a) x = 13 (y2 + 2)3/2 from y = 0 to y = 1
x − 3y = 13 and y = − x − 1 with point (4, − 3
y=−x 2 +12x−27
Identify the information for the quadratic function below.Must show work/steps on your work page𝑦=𝑥2 −4𝑥+13Find the axis of symmetry: x = Find the vertex: (, )Find the y-intercept
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.