If f(t)= (t^2+1)(2t-3e^t), determine the first derivative

What will be the first derivative of f(x) = 1/ 5x^4-6x

For what value of x does the function g(x) = 1/3x^3-2x^2 strictly convex?

Matrix A is a 3x3 matrix with a determinant of 0, therefore it is considered a singular matrix. If Matrix D is 3x3 with a determinant of 10, which matrix is a squared matrix?

What is the expression when A and B are square matrices of the same order and P is a scalar?

For what value of X does the function f(x)= x^3-3x^2 attain the absolute maximum in the interval [-1, 4]