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Application of Differentation - Coggle Diagram
Application of Differentation
FIRST DERIVATIVE
If the tangent of line is parallel to the y-axis, gradient will become undefine
If tangent of line is parallel to the x-axis, gradient is zero
First Derivative represent the gradient of the tangent
Gradient of normal line can also be determined by using the equation (M1)(M2)= -1
Coordinates of the intersection tangent line and the curve can be determine by equating dy/dx to the gradient.
SECOND DERIVATIVE
If Second Derivative is more than zero, the point is at minimum
If Second Derivative is less than zero, the point is at the maximum
Second Derivative is used to find the nature of Stationary points
TECHNIQUE
Quotient Rule
Chain Rule
Product Rule
TYPE OF DIFF CURVE
Exponential and Log Curve
Trigonometry Curve
Involving X
IMPLICIT DIFFERENTIATION
The technique of implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y. The chain rule must be used whenever the function y is being differentiated because of our assumption that y may be expressed as a function of x
PARAMETRIC DIFFERENTIATION
Derivative of a dependent variable with respect to another dependent variable that is taken when both variables depend on an independent third variable
