12th Grade Math Flashcard

x = 5

4

The integral of f(x) = 2x + 3 is x^2 + 3x + C

f'(x) = 6x + 2

x = sin^-1(1/3)

x = (-b ± √(b² - 4ac)) / (2a)

The limit of a function is the value that the function approaches as the input approaches a certain point.

It links the concept of differentiation and integration, stating that if F is an antiderivative of f on an interval [a, b], then ∫_a^b f(x)dx = F(b) - F(a).

In a right triangle, a² + b² = c², where c is the hypotenuse.

The derivative of a function at a point is the limit of the average rate of change of the function as the interval approaches zero.