function rule

Laura is building rectangular boxes of different sizes. The length of the box ' y ' is 8 times its width ' x '. If the widths she is using are 5 cm, 7 cm and 9 cm, then choose a rule for the relation between the length and the width and determine if this relation is a function. ..

Write a rule for the linear function from the table [Using f( x ) = mx + b , where m = (difference between the f( x )-values)/ (difference between the x -values) and b is the value of f( x ) when x = 0.] => f ( x ) = 4 x -1 or f ( x ) = 2 x + 1 or f ( x ) = x + 1 or None of the ..

Find a rule for the function ( f - g )( x ), if f ( x ) = x x 2 - 3 6 , g ( x ) = 6 x 2 - 3 6 . => ( f - g )( x ) = - 1 x + 6 or ( f - g )( x ) = 1..

Find the rule for the function ( f ÷ g )( x ), if f ( x ) = x + 4 x 4 , g ( x ) = 3 ( x + 4 ) x 6 . => ( f ÷ g )( x ) = x 1 3 or ( f ÷ g )( x )..

Function - We consider two sets A and B. We form the Cartesian Product, we form relations. From all the relations, we can select a few which satisfy the rule that each element of the set A is related to only one element of the set B. When a relation satisfies this rule..

Product Rule for Differentiation - Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of ..

'Derivative of the product of two functions = first function x derivative of second function + second function x derivative of first function..

Let y = u. v, where both u and v are differentiable functions of x.Let y = u. v, where both u and v are differentiable functions of x. or (u.v)' = u.v' + v..

Derivability implies continuity Derivative of a constant function is zero. ..

Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate..