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Example Questions
Example Question #21 : Derivatives Of Polar Form
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the denominator, we get:
Example Question #22 : Derivatives Of Polar Form
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the denominator, we get:
Example Question #23 : Derivatives Of Polar Form
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the numerator, we get:
Example Question #24 : Derivatives Of Polar Form
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the denominator, we get:
Example Question #32 : Parametric, Polar, And Vector Functions
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the denominator, we get:
Example Question #25 : Derivatives Of Polar Form
What is the derivative of ?
In order to find the derivative of a polar equation , we must first find the derivative of with respect to as follows:
We can then swap the given values of and into the equation of the derivative of an expression into polar form:
Using the trigonometric identity , we can deduce that . Swapping this into the denominator, we get:
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