derivative of e^x root 3, These restrictions are mostly intended to eliminate potential problems with derivatives at endpoints of intervals or jump discontinuities. Derivative Rules In these rules, the derivative operator is D[...], u and v are expressions involving the free variable x, and c is a constant expression. It's just finding the derivative of Y1 at every point, and plotting that derivative as Y2. Matrices I discussed earlier (under " Yellow, Green, and Storing Numbers ") the fact that the calculator has twenty-six named memory slots, each capable of holding a number: for instance, you can store the number 1.4 into the memory slot G (in green above ... industrial application of partial derivatives and limits. Home; Service; About; Contacts; FAQ For higher values of x, the value of the second derivative, 30x + 60, will be positive so the curve is concave up. We can conclude that the point (-2,79) is a point of inflection. Consider f(x) = x 4. Solving f "(x) = 12x 2 = 0 yields x = 0. At values of x 0, the second derivative is positive. At values of x > 0, the second derivative is positive.