f'(x)=0
When the derivative of a function is equal to zero, it means that the function has a critical point or a stationary point at that particular x-value
When the derivative of a function is equal to zero, it means that the function has a critical point or a stationary point at that particular x-value. A critical point is a point on the graph of the function where the slope of the tangent line is zero.
To find the x-values where f'(x) = 0, you need to solve the equation f'(x) = 0. This equation represents the condition where the slope of the function is equal to zero.
Once you find the x-values, you can plug them back into the original function to find the corresponding y-values or analyze the behavior of the function around those points.
It’s important to note that finding f'(x) = 0 does not guarantee that you have found all the critical points of the function. You also need to check the endpoints of the domain and any points where the derivative is undefined.
Hope this helps! Let me know if you have any other math-related questions.
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