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giggles123
Find the function given that it satisfies f''(x)=36x^2+24x and its graph has a horizontal tangent line at the point (0,1) @calculus
Take the integral of the double derived function to get the first derivative. Find the constant C by using the fact that the first derivative must equal zero (horizontal tangent) at the point x = 0. Now that you have identified C, integrate again to find the original function. To find out what the new constant C is, solve the equation f(0) = 1. Once C is found, you have the function satisfying all the given conditions.