Differential Calculus worksheets
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Which of the following is true?
the derivative is a way to show rate of change, that is - the amount by which a function is changing at one given point
dx/dy is the derivative
The image displays the ______
Limit definition of the first derivative
The bane of my existance
f(x) = 7
If f'(x) = 0 what does that imply about the x value?
It is a critical point, it is a possible max, min, or point of inflection.
That the limit does not exist.
When looking for critical points we did....
- took the limit of the function. 2. Graphed the critical points.
- Found f'(x). 2. Set f'(x) = 0 and solved for x. 3. Created a sign diagram. 4. Took the limit
- Found f'(x). 2. Set f'(x) = 0 and solved for x. 3. Created a sign diagram. 4. Checked out intervals.
When applying calculus. The second derivative helps find...
the distance traveled by an object.
The velocity of a particle at any given point
acceleration of an object at any given time
Rate of change is another way of saying...
The gradient
The slope
dy/dx
Integration is the inverse of differentiation but it applications it can be used to....
find the area under a curve
calculate the force of an object
Find the altitude of an objects perimeter
Which of the following is true.
The derivative is the same as volume
optimization is the same as integration.
The derivative is often written using "dy over dx" (meaning the difference in y divided by the difference in x). The d's are not
variable, and therefore cannot be cancelled out.
Is differentiating the same as taking the derivative?
yes
no
banana on my rice
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