There are a lot of functions of which the derivative can be determined by a rule. Then you do not have to use the limit definition anymore to find it, which makes computations a lot easier. All these rules can be derived from the definition of the derivative, but the computations can so...
We have seen three different methods to find the roots of a quadratic function of the form ax^2 + bx + c. The first was factorizing, where we tried to write the function as (x-s)(x-t). Then we know the solutions are s and t. The second method we saw was the ABC Formula. He...
The derivative of a convex quadratic function represents the rate of change of the function at any given point. It can also be used to find the slope of the tangent line at a specific point on the curve. Can a convex quadratic function have more than one global minimum point?
Quadratics are the polynomial equation which has highest degree of 2. Also, called quadratic equations. Learn quadratic formulas, solution to quadratic equations with the example at BYJU'S.
The vertex of a parabola is a point at which the parabola makes its sharpest turn. The vertex of f(x) = ax^2 + bx + c is given by (-b/2a, f(-b/2a)). Learn how to find vertex of a parabola from different forms like standard form, vertex form, and inter
A critical point of a function y = f(x) is a point (c, f(c)) on the graph of f(x) at which either the derivative is 0 (or) the derivative is not defined. Let us see how to find the critical points of a function by its definition and from a graph.
How do you find the minimum or maximum value of a function? First you will need to find the critical point, then plug the value of the critical point into the original function. The value you get will be either a minimum or maximum value depending on whether the second derivative is posi...
Area of a triangle is the region covered by its three sides in a plane. Area of a triangle is equal to half of product of its base and height. Find the area using heron's formulas and SAS condition, with examples at BYJU'S.
How to Find Total Displacement How to Find Total Distance Most distance problems in calculus give you thevelocity function, which is thederivativeof theposition function.The velocity formula is normally presented as aquadratic equation. You can find total distance in two different ways: with derivat...
How to Solve a Quadratic Equation: 3 Methods Math: How to Multiply Matrices How to Find the Intersection of Two Lines and Other Types of Curves Math: How to Find the Derivative of a Function Math: How to Use Complex Numbers and the Complex Plane...