Information
You have already completed the quiz before. Hence you can not start it again.
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
-
Question 1 of 5
Find the derivative
f(x)=x8
Incorrect
First, identify the values of the function
Substitute the values into the power rule
f′(x) |
= |
nxn−1 |
|
= |
8⋅x8−1 |
Substitute known values |
|
= |
8x7 |
-
Question 2 of 5
Find the derivative
f(x)=3x
Incorrect
First, identify the values of the function
Substitute the values into the power rule
f′(x) |
= |
nxn−1 |
|
= |
1⋅3x1−1 |
Substitute known values |
|
= |
3x0 |
|
= |
3×1 |
Anything raised to 0 is 1 |
|
= |
3 |
-
Question 3 of 5
Find the derivative
f(x)=x3+x4
Incorrect
First, identify the values of the function
Substitute the values into the power rule
First term:
f′(x) |
= |
nxn−1 |
|
= |
3⋅x3−1+x4 |
Substitute known values |
|
= |
3x2+x4 |
Second term:
f′(x) |
= |
nxn−1 |
|
= |
3x2+4⋅x4−1 |
Substitute known values |
|
= |
3x2+4x3 |
-
Question 4 of 5
Find the derivative
f(x)=8
Incorrect
Remember
Differentiating a constant makes it 0.
First, identify the values of the function
The value of the function is a constant.
Since differentiating a constant makes it 0, the derivative of this function is 0.
-
Question 5 of 5
Find the derivative
f(x)=x5+x3+6
Incorrect
Remember
Differentiating a constant makes it 0.
First, identify the values of the function
Substitute the values into the power rule
First term:
f′(x) |
= |
nxn−1 |
|
= |
5⋅x5−1+x3+6 |
Substitute known values |
|
= |
5x4+x3+6 |
Second term:
f′(x) |
= |
nxn−1 |
|
= |
5x4+3⋅x3−1+6 |
Substitute known values |
|
= |
5x4+3x2+6 |
Third term:
f′(x) |
= |
nxn−1 |
|
= |
5x4+3x2+0 |
Differentiating a constant makes it 0 |
|
= |
5x4+3x2 |