Curve Sketching. If f (-x) = -f (x) for all x in the domain, then f is odd and symmetric about the origin. d) Asymptotes: Find the asymptotes of the function using the methods described above. First attempt to find the vertical and horizontal asymptotes of the function. Curve sketching
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Category: Calculus
Derivative of polynomials
Derivative is product of differentiation. Differentiation has applications to nearly all quantitative disciplines. For example, in physics, the derivative of the displacement of a moving body with respect to time is the velocity of the body, and the derivative of velocity with respect to time is acceleration. Therefore differentiation is process Derivative
Optimization-2
Process of optimisation means optimal value of function at turning point (maximum or minimum ) value of the curve. Therefore second derivative use to find greatest or least value . Also it show greatest value. Optimization
Related Rates -2
First of all related rate problems are applications of derivative . One of the hardest calculus problems that students have trouble . Because each application question has a different approach in solving the problem. Hence called rate of change. Related rates
Kinematics
Describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion. The symbol a stands for the acceleration of the object. And the symbol v stands for the instantaneous velocity of the object. The derivative of displacement with time is velocity ( v = ds/dt ). The […]
Optimisation
Process of calculating optimal value of function at turning point (maximum or minimum )value of the curve. Hence we use second derivative. It also give greatest or least value of curve. Optimisation
Related Rates
Rate of change is also related rate problems are applications of derivative . One of the hardest calculus problems that students have trouble . Because each application question has a different approach in solving the problem. Ralated rates
Calculus
This formula sheet help the students for preparing precalculus and calculus. Further this sheet also help in academic math. This can also be use in Pre-calculus. Calculus
Average and Instantaneous rate of chan...
This rate of change is not the same as the average rate of change. Average rate of change instantaneous rate of change change in quantity change in time limits. We want to talk about instantaneous rate of change, instantaneous rate of change is a lot like instantaneous velocity only it’s a little more general Instant and Average rate of change
Derivative test
First Derivative Test for Local Extrema. If the derivative changes from positive (increasing function) to negative (decreasing function), the function has a local (relative) maximum at the critical point. Second Derivative Test. 1. If , then has a local minimum at . 2. If , then has a local maximum at . The extremum test gives slightly more general conditions under which […]
