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Example Questions
Example Question #51 : Definition Of Derivative
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Substituting in the trigonometric identity
Then using the identities
and
Example Question #52 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Substituting in the trigonometric identity
Then using the identities
and
Example Question #53 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Example Question #54 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Example Question #55 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Example Question #51 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Next we will multiply the numerator and denominator by the complex conjugate of the numerator
Example Question #51 : Definition Of Derivative
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Example Question #58 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Next we will multiply the numerator and denominator by the complex conjugate of the numerator
Example Question #59 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
Example Question #60 : Derivative Review
Find the derivative of using the definition of the derivative.
The definition of a derivative is
Substituting these expressions into the definition of a derivative gives us
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