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
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Category: Pure Maths
Properties of curve :Implicit
Makes use of the chain rule to differentiate implicitly defined functions. To differentiate an implicit function y ( x ), defined by an equation R ( x, y) = 0, it is not generally possible to solve it explicitly for y and then differentiate. The derivatives of inverse trig functions we’ll need the formula from the last section relating the derivatives of inverse functions. properties […]
Parametric Equations
Parameter equations are three variable equation. In this type of equation two variable defines in terms of third variable to form two equation. Third common variable is know as parameter. Due to parameter these equation call parametric equation. Likewise x = f(t) and y = g(t), where t is parameter. Also we can say x […]
Power series with Complex Coefficient
Power series with Complex Coefficient. n represents the coefficient of the nth term and c is a constant. An is independent of x and may be expressed as a function of n . The set of all formal power series in X with coefficients in a commutative ring R form another ring that is written R [[ X ]] Also expressions for Coefficients of a Power Series. As […]
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 […]
