Calculus 2 : Calculus II
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Example Questions
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 
Example Question #1401 : Calculus Ii
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 #1404 : 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 #1402 : Calculus Ii
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:
Example Question #81 : First And Second Derivatives Of Functions
Find the derivative of
Recall that when taking the derivative, multiply the exponent of the x term by the coefficient in front and then subtract one from the exponent.
Therefore, your answer is
Example Question #282 : Derivatives
Find the derivative of 
To find the derivative here, you have to use implicit differentiation.
The first step is to take the derivative of each term using the power rule,
in this particular case it would look like this:
Then, solve for 
Therefore, your answer is:
Example Question #282 : Derivatives
Find the first derivative of
None of the Above
Step 1: Recall the derivative rules:
-For any term with an exponent, the exponent drops and gets multiplied to the coefficient of that term. The new exponent is one less than the original one..
-For any term in the form "ax", the derivative of this term is just the coefficient.
-For any term with no x term (constant), the derivative is always
Step 2: Take the derivative:
The first derivative of 
Example Question #282 : Derivative Review
Find the first derivative of
Step 1: Re-write the function in terms of a term, not a fraction:
Step 2: Using the power rule, the 
Step 3: Re-write the exponents with positive numbers...
When we change the exponents to positive from negative, you flip the exponent term over 
Step 4: Multiply the coefficient from Step 
Example Question #82 : First And Second Derivatives Of Functions
Find the derivative of 
This is a special derivative.
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