All Calculus 1 Resources
Example Questions
Example Question #51 : Other Differential Functions
Differentiate the function using known derivatives and applying the product, quotient, and chain rules.
We evaluate this derivative using the chain rule:
,
.
The outside function is:
The inside function is:
Therefore,
, which is our final answer.
Example Question #51 : How To Find Differential Functions
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
We use the trig identity .
, which is our final answer.
Example Question #1269 : Calculus
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
+ c
+ c
+ c
+ c
+ c
+ c
.
, which is our final answer.
Example Question #241 : Functions
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
.
, which is our final answer.
Example Question #1271 : Calculus
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
We rewrite the denominator as a negative exponenet in the numerator to make the u-substitution easier to see:
, which is our final answer.
Example Question #242 : Functions
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
, which is our final answer.
Example Question #243 : Functions
Solve the indefinite integral. If you cannot evaluate directly, use u-substitution.
, which is our final answer.
Example Question #51 : How To Find Differential Functions
Find the derivative of .
The derivative of the difference of two functions is the difference of the derivative of the two functions:
Example Question #52 : How To Find Differential Functions
Find the derivative of .
We can write the function as
.
Let .
We then have
.
Example Question #53 : How To Find Differential Functions
Differentiate the function:
Using the chain rule, , ,
we observe the following:
.
.
, which is our final answer.