All Calculus 2 Resources
Example Questions
Example Question #71 : First And Second Derivatives Of Functions
Find the first derivative of the following function:
The first derivative of the function is equal to
and was found using the following rules:
, , ,
Example Question #71 : First And Second Derivatives Of Functions
Find the first derivative of the function:
The first derivative of the function is equal to
and was found using the following rules:
, ,
Example Question #72 : First And Second Derivatives Of Functions
Find the first derivative of the function:
The derivative of the function is equal to
and was found using the following rules:
, , ,
Example Question #273 : Derivative Review
Find the derivative of the function:
The derivative of the function is equal to
and was found using the following rules:
, , ,
Example Question #271 : Derivative Review
What is the derivative of
To take the derivative, remember to multiply the exponent by the coefficient in front of the x term and then subtract one from the exponent. Therefore, your answer should be: .
Example Question #73 : First And Second Derivatives Of Functions
What is the acceleration function if the position function is ?
Recall that the acceleration function is the second derivative of the position function. So, the first step is taking the first derivative. Remember to multiply the exponent by the coefficient in front of the x term and then subtract the exponent by 1. The first derivative is . Then, take the derivative of the velocity function to get the acceleration function, which is .
Example Question #272 : Derivative Review
What is the derivative of ?
Remember that when taking the derivative, multiply the exponent by the coefficient in front of the x and then subtract one from the exponent. Therefore, your answer is: .
Example Question #1403 : Calculus Ii
Find the derivative of .
To find the derivative, remember to use implicit differentiation.
To find the derivative take the derivative of each term.
In this particular case the power rule,
and the product rule,
will be applied to solve.
Your first step should look like this:
.
Then, solve for .
The next step should look like:
.
Thus, your answer is:
.
Example Question #1402 : Calculus Ii
What is the derivative of ?
To find the derivative, multiply the exponent by the coefficient in front of the x and then subtract 1 from the exponent.
Therefore, the first step is:
.
Multiply like terms to get your answer of
.
Example Question #273 : Derivative Review
What is the derivative of ?
To find the derivative, remember to multiply the exponent by the coefficient in front of the x and then subtract 1 from the exponent.
Therefore, the derivative is: