WorksheetsDerivative as Tangent Slope
Total questions: 15
Worksheet time: 3600secs
Derivative means the same thing as
slope of the tangent line
slope of the normal line
slope of the secant line
the function’s value
The derivative of a function is its
y value
Maximum/Minimum
Instantaneous rate of change
Common Denominator
If f '(x) = 0, what does that mean with respect to the tangent line?
Tangent line is vertical
Tangent line has a positive slope
Tangent line is horizontal
Tangent line has a negative slope
From the table, determine if a limit exists at 2 and, if so, what is it?
yes the limit exists; .8
no the limit does not exist
yes the limit exists; 2
yes the limit exits; 8
Find the limit as x approaches 1.
0
3
DNE
∞
If f(x)=x2+3x and f'(x)=2x+3, find the value of x where f(x) has a tangent line with a slope of 0
-3
-3/2
2/3
0
f’(x) = 3x+4. Find the slope of the line tangent to f(x) at the point (0, 7)
3
4
-7
7
Using this graph of f’(x), find the slope of the line tangent to f(x) at point c
0
1
-1
Not enough information
Calculate the derivative of y
y' = 1000x999
y' = 1000x1000
y' = 1000x
y' = 999x999
Find the derivative
3r
6r
3r2
r2
Find the derivative
x
2x
x2
2x2
Find the derivative
4t
3t
4t3
4t4
f(x) = 16x1/4 . Find f'(x)
16x-3/4
4x3/4
64x3
4x-3/4
