Inverse of functions is an important concept . Domain values and Range values gets interchange . Due to these values of functions, continuity of function also change. Graph of inverse function also change and become y-axis oriented. Therefore graph of inverse is reflection of function graph about y = x. Inverse of Function
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Category: Functions
Rational and Reciprocal functions
A rational functions is a function of the form f(x)=p(x)/q(x), where p(x) and q(x) are polynomials and q(x)≠0 ,q(x)≠0 . The domain of a rational function consists of all the real numbers x=0 except those for which the denominator is x= 0 . reciprocal for a number x, denoted by 1/x or x −1, is a number which when multiplied by x yields the multiplicative identity, 1.. The […]
Polynomials
This post is about worksheet of polynomials . This worksheet consist question of finding roots of polynomial. There are two types of solution of polynomial , one algebraic and another graphic. Because of method two type of questions are there, one equation and another graph based. Due to graphic question calculator allowed. Polynomials
Parametric Equation
Parametric Equation. Namely, x = f ( t ), y = g ( t ) t D. where D is a set of real numbers. The variable t is called a parameter and the relations between x, y and t are called parametric equations. The set D is called the domain of f and g and it […]
Derivative of Parametric and Polar Equat...
This post is about derivatives of Polar and parametric Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the […]
Derivative of polar equation
This post is about derivatives of Polar Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the derivative is which […]
Derivative of Polar Equation
This post is about derivatives of Polar Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the derivative is which […]
Parametric and Polar Equation
Parametric and Polar Equations , a function with two variables, x and y. In some cases, though it is useful to introduce a third variable, called a parameter, and express x and y in terms of the parameter. Polar equations ,work. Coordinates in polar equations are of the form (r,θ), where r represents radius and θ represents angle. Hence both are same type […]
Conversion of point polar to rectangular...
This polar to rectangular form conversion converts a number in rectangular form to its equivalent value in polar form. Rectangular forms of numbers take on the format, rectangular number= x + jy, where x and y are numbers. The x is the real number of the expression and the y represents. To Convert from Cartesian to Polar. When we know a point in Cartesian Coordinates (x,y) and we want […]
Curve Sketching -2
the sketching of curve though coordinate of turning and axes intercepts . So equation of the curve is given. Curve sketching
