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Filename: controllers/calculator.php

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Points of inflection play a pivotal role in functions and curves. Points of inflection are points on the curve which can change the curvature or concavity of the curve. The online tool used to calculate the points of inflection for a given function is called as points of inflection calculator.

Given is a function f(x) = x

The first derivative of the function needs to be calculated to find the points of inflection.

f'(x) = 3 x + 6

Now check for the points of inflection by having f'(x) = 0

3x + 6 =0 subtract 6 on both sides.

3x = -6 divide by 3 on both sides.

x = -2 and f (-2) = -2

Given is a function f(x) = x

The first derivative of the function needs to be calculated

f'(x) = 3x

Now check for the points of inflection by having f'(x) = 0

3x

3x

x