Differentiation

Differentiation of Parametric Functions

If x=f(t) and y=g(t), where x and y are dependant on the independent variable t, then

t is called the parameter.

Example:

If x and y are connected parametrically by the equation given below, find

without eliminating the parameter t.

Suggested answer:

Differentiating w.r.t t, we get

Differentiating both sides with respect to x, we get

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	Introduction
	Derivative at a Point
	Interpretation of Derivative at a Point
	Derivative of a Function (in general)
	Differentiability
	Derivative of Some Important Functions
	Product Rule for Differentiation
	Quotient Rule for Differentiation
	Derivative of a Function of a Function
	Derivative of Inverse Trignometric Functions
	Derivative of Implicit Functions
	Logarithmic Differentiation
	Differentiation of Parametric Functions
	Differentiation by Substitution
	Derivatives of Second Order
	Summary
	Conclusion
Animations
	Activity Zone

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Geometry