0
The derivative at a given point in a circle is the tangent to
the circle at that point.
To find the derivative of a circle you must use implicit differentiation.
The equation of a circle:
x^2 + y^2 = r^2
Take the derivative of both sides. Since r is always a constant, it does not matter what it is. The derivative of a constant is always zero, so the value of r will not affect the final answer for the derivative of a circle.
2x + 2y * dy/dx = 0
2y * dy/dx = -2x
dy/dx = -2x/2y
Simplify:
dy/dx = -(x/y)
The derivative of a circle of any radius at any point on that circle is -(x/y).
What else can I help you with?
What part of speech is the word derivatives?
The word derivatives is a noun. It is the plural form of the noun derivative.
What are the derivatives of the root word locus?
location, local
What is a derivative for inevitable?
The noun derivatives for the adjective inevitable are inevitability and inevitableness.
What is the definition of the term interest rate derivatives?
A derivative has as a security the ability to pay or receive an amount at a given interest rate. Interest rate derivatives are the most popular and include rate swaps and forex swaps.
What is a circle story?
A circle story is a story that all connects. It is all going into a circle.
What is derivatives in banking?
what is derivatives in banking
What is the formula for derivatives?
this site has info/formulas about derivatives and limits: http://www.scribd.com/doc/14243701/Calculus-Derivatives-Formula
What are derivatives for the latin word aquae?
Some derivatives are aqueous, aquaduct, aquifer.
What are derivatives and their uses?
derivatives are the functions required to find the turning point of curve
When was Swiss Derivatives Review created?
Swiss Derivatives Review was created in 1997.
Can derivatives be viewed as investment intruments?
Yes. Derivatives are instruments of investment for the knowledgeable financial people. Novice and intermediate investors should keep away from derivatives.
What do you learn in calculus?
In Calculus, you learn Limits, Derivatives, Anti-Derivatives and all their applications!
What is spatial derivatives?
They are derivatives with respect to measures in space: normally length, area or volume.
What are some derivatives for intrat?
Some derivatives for "intrat" could include "intra-" and "intr."
What are English derivatives of 'Gloria'?
Some English derivatives of the name 'Gloria' include Gloriana and Glory.
What are the English derivatives of the word senex?
The English derivatives of "senex" include "senior," "senate," and "senility."
What part of speech is the word derivatives?
The word derivatives is a noun. It is the plural form of the noun derivative.
