WorksheetsLKM DM025 DIFFERENTIATION(SUBTOPIC 2.1)
Total questions: 10
Worksheet time: 51mins
Name
Class
Date
1.
Find the derivative of:
f(x) = 7(3x + 4)5
f(x) = 7(3x + 4)5
a)
35(3x + 4)5
b)
35(3x + 4)4
c)
105(3x + 4)5
d)
105(3x + 4)4
2.
Find the derivative of this function
a)
(8x3 -60x/(2x2-5)2
b)
16x4/(2x2-5)2
c)
(8x4 -60x2)/(2x2-5)2
d)
3x/(2x2-5)2
3.
Find the slope of f(x) = 2x2+3.
a)
4x
b)
4x2
c)
3
d)
2x2+3
4.
Differentiate:
f(x) = x7 (5 + 8x)3
f(x) = x7 (5 + 8x)3
a)
f '(x) = x2 (5 + 8x)6 (35 + 80x)
b)
f '(x) = x6 (5 + 8x)2 (35 + 80x)
c)
f '(x) = 8x7 (5 + 8x)2 (35 + 80x)
d)
f '(x) = x6 (5 + 8x)3 (35 + 80x)
5.
If f(x) = x2 + 6x then f(x+h) = ?
a)
x2 + 2xh + h2 + 6x + 6h
b)
x2 + h2 + 6x + 6h
c)
h2 + 6h
d)
2x + 6h
6.
h→0lim h2(x+h)−2x is
a)
0
b)
1
c)
2
d)
does not exist
7.
A curve has an equation y=x2−4x+1. Find the gradient of the curve at x=5.
a)
5
b)
30
c)
6
d)
46
8.
It is given that the equation of a curve is y=x27.
Find the value of dxdy when x =5.
a)
−12514
b)
−257
c)
−2514
d)
−1257
9.
Given that y = (x+2)/(x-3), find y'.
a)
y' = -1/(x-3)2
b)
y' = -5/(x-3)2
c)
y' = (2x-5)/(x-3)2
d)
y' = (2x-1)/(x-3)2
10.
Given that f(x) = 3x3 - x - 1, find f'(2)
a)
35
b)
18
c)
17
d)
12
100 %
