Tangent and Normal Lines for implicit curves are a line that touches the implicit curve at one point and has the same slope as the curve at that point. A normal to a curve is a line perpendicular to a tangent to the curve. tangent and normal
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Tag: Function
Inverse of Function
Inverse of functions are 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
Logarithmic and exponential Function
The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1. Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. […]
Function
A functions f(x) tells you what to do with the input, but, to be completely defined, function also need to know what type of input is permitted to go into the function. Function
Derivative curve
This post about sketching of derivative curve from function curve. Given the graph of a function y = f(x) a standard approach is to identity intervals over which the graph is increasing, another intervals over which it is decreasing, and points at which the tangent line is horizontal. Derivative curve
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 […]
Graphs of Inverse trigonometric function...
Graphs of Inverse Trigonometric Functions. The graphs of the inverse functions are the original function in the domain specified above, which has been flipped about the line y=x. The effect offlipping the graph about the line y=x is to swap the roles of x and y, so this observation is true for the graph of any inverse function. Hence it interchange. Further it use in calculus. […]
Differentiation of function
The Differentiation means change in one quantity with respect to change in other. It also give of derivative of function . It also gives gradient of tangent of curve at a point. For differentiation use Power rule. Another differentiation is process for finding rate of change quantity. Rule of differentiation
