solving implicit functions

Derivative of Implicit Functions - Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual ..

Till now, the functions that we have discussed, are explicitly functions of x. We have defined y in terms of x. Suppose we have an equation f(x,y) = 0, which cannot be put in the form of y=f(x) to differentiate in the usual way, we can still differentiate the equation f(x,..

The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. Every first element is mapped a..

We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the following ..

Choose the functions, which are implicitly defined by the relation x 2 + y 2 = 625. => f ( x ) = 6 2 5 - x 2 or g ( x ) = - 6 2 5 - x 2 or y = - 6 2 5 + x 2 or Both A & B..

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective ..

Solve by graphing the related function of the equation - 3 x 2 = - 27. => - 3 and 6 or - 3 and 3 or - 3 and 7 or - 4 and 4..

Solve by graphing the related function of the equation - x 2 + 9 x - 20 = 0. => no solution or - 5 and - 4 or 4 and 5 or - 4 and 5..

Solve by graphing the related function of the equation - x 2 + 9 x - 20 = 0. => - 4 and 5 or 4 and 5 or - 5 and - 4 or no solution..

Solve for y in the linear function y = 6 x + 8, when x = 2. => 20 or 21 or 19 or 22..