All Calculus 1 Resources
Example Questions
Example Question #261 : Differential Functions
Find the derivative of the function
To find the derivative of this function we must use the Chain Rule and the Quotient Rule. Applying the Chain Rule to the numerator gives
Now using the Quotient Rule for the function, we find the derivative to be
Example Question #261 : Functions
Find the derivative of
To find the derivative of this function, we must use the Quotient Rule which is
Applying this to the function we are given, with and gives us
Example Question #81 : How To Find Differential Functions
Find the derivative of the following function
To find the derivative of this function we must use the Product Rule and the Quotient Rule. Appling the Product Rule to the numerator of the function gives us
Using this with the Quotient Rule, we find
Example Question #81 : Other Differential Functions
Find the derivative of
To find the derivative of this function we must use the Product Rule and the Chain Rule. If and then
Applying these derivatives to the Product Rule gives us
Example Question #271 : Differential Functions
Differentiate:
To find the derivative of this function we must use the Product Rule and the Chain Rule. First we set
and
Now differentiating both of these functions gives
Applying this to the Product Rule gives us,
Example Question #272 : Differential Functions
Find the derivative of
None of these answers are correct.
To find the derivative of this function we must use the Product Rule and the Chain Rule. If we have
and then
and
Applying this to the product rule, we find
Example Question #271 : Functions
Find the derivative of the function
None of these answers are correct.
To find the derivative of this function, we must use the Product Rule, Quotient Rule, and the Chain Rule. To do this, we first find the derivative of each part.
Using the derivatives of each part we can find the derivative of the numerator using the Product Rule
Finally, putting this into the Quotient Rule gives
Example Question #274 : Differential Functions
Differentiate the function
None of these answers are correct.
To differentiate this function we must use the Quotient Rule
Using and .
The derivative of the function is then
Example Question #82 : How To Find Differential Functions
Differentiate the following function
None of these answers are correct.
To differentiate this function we must use the Chain Rule. where
Therefore the derivative of the function is
Example Question #82 : Other Differential Functions
Find the derivative of the function
None of these answers are correct.
To find the derivative of the function, we must use the Product Rule,
Using and .
Therefore
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