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WorksheetsFind derivative and gradient of a tangent
Total questions: 10
Worksheet time: 55mins
Name
Class
Date
1.
Find the derivative of f(x) = 5x2 + 7x - 3.
a)
2x + 7
b)
10x + 7
c)
10x + 4
d)
2x + 4
2.
Differentiate y = -19
a)
-19
b)
0
c)
19
d)
Not differentiable
3.
a)
(1/2)x-7
b)
(1/2)x-9
c)
-32x-9
d)
-32x-7
4.
Find the derivative of the given equation
f(x) = x4 + 4x3 - 2x2
f(x) = x4 + 4x3 - 2x2
a)
x3 + x2 - x
b)
4x3 + 12x2 + 4x
c)
4x + 12x - 4x
d)
4x3 + 12x2 - 4x
5.
Which curve is a possible gradient function?
a)
A
b)
B
c)
C
d)
D
6.
Which of the following means "first derivative"
a)
f'(x)
b)
y'
c)
dy/dx
d)
all of the above
7.
Find the gradient of f(x) = -3x2 – 6x at x = 1.
a)
m = 0
b)
f'(x) = -6x - 6
c)
f'(x) = 6x
d)
m = -12
8.
If f '(x) = 0, what does that mean with respect to the tangent line?
a)
Tangent line is vertical
b)
Tangent line has a positive slope
c)
Tangent line is horizontal
d)
Tangent line has a negative slope
9.
For what value(s) of x does the function
f(x) = 4x3- x2- 2x+5 have a horizontal tangent? *Hint: use your GDC...
a)
x=-1/3 or 1/2
b)
x= 1/3 or -1/2
c)
x=3 or -2
d)
x=-3 or 2
10.
the derivative is...
a)
Gradient of the secant line
b)
Gradient of the tangent line
c)
Gradient of the cosecant line
d)
Gradient of the normal line
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