NEW
Font size
S
M
L
XL
Worksheetstranscendental derivatives
Total questions: 18
Worksheet time: 2hrs 30mins
Name
Class
Date
1.
Find the derivative:
y=4x
y=4x
a)
y′=4x
b)
y′=(lnx)4x
c)
y′=(ln4)4x
d)
y′=(log4)4x
2.
Find the derivative:
y=57x
y=57x
a)
y′=35(ln5)57x
b)
y′=7(ln5)57x
c)
y′=5(ln7)57x
d)
y′=35(ln7)57x
3.
Find the derivative:
y=5x2e3x
y=5x2e3x
a)
y'=10xe3x(2x+3)
b)
y'=5xe3x(3x+2)
c)
y'=10ex3x(3x+2)
d)
y'=5xe3x(2x+3)
4.
What is the derivative of ln(x)?
a)
xln(x)
b)
1/x
c)
ex
d)
ln(x+1)
5.
Find dy/dx
a)
A
b)
B
c)
C
d)
D
6.
Find the derivative:
y = 3ln(x2-3)
y = 3ln(x2-3)
a)
6x/(x2-3)
b)
3/(x2-3)
c)
3x/(x2-3)
d)
9x/(x2-3)
7.
Derive f(x)
a)
(3x2-5)/(2x3-10x)
b)
1/√(x3-5x)
c)
1/√(3x2-5)
d)
1/(2x3-10x)
8.
#8
a)
f′(x) = 1/x + 1/7
b)
f′(x) = 7/x + 7
c)
f′(x) = 1/ex + 7
d)
f′(x) = 1/x + 7
9.
Find the derivative of the given equation
f(x) = 1 - x2
f(x) = 1 - x2
a)
1 - 2x
b)
-2x
c)
-2
d)
-1
10.
Find the derivative of the given equation
g(x) = 6 + ⅔x
g(x) = 6 + ⅔x
a)
6
b)
12
c)
6 + ⅔
d)
⅔
11.
What is the derivative of sin(x)?
a)
sin(x)
b)
cos(x)
c)
-sin(x)
d)
-cos(x)
12.
Find the derivative
f(t) = (t2 + 2t)5
f(t) = (t2 + 2t)5
a)
f'(t) = 5(2t+2)4
b)
f'(t) = 5(t2 + 2t)4
c)
f'(t) = 5(t2 + 2t)4(2t)
d)
f'(t) = 5(t2 + 2t)4(2t + 2)
13.
Find the derivative:
y=(23x+4)
a)
3(ln2)(23x+4)
b)
3(23x+4)
c)
3(23x+4/(ln2))
d)
23x+4
14.
Find the derivative f(x) = xex
a)
f'(x) = ex
b)
f'(x) = xex + xex
c)
f'(x) = ex - xex
d)
f'(x) = ex + xex
15.
Find the derivative:
y=4ex²
y=4ex²
a)
y'=8xex
b)
y'=8xex²
c)
y'=8xe2x
d)
y'=8xe4x²
16.
Find the derivative:
y=e5x+ln(x)
a)
e5+1/x
b)
e5x+ln(x)
c)
(5+1/x) e5x+ln(x)
d)
(5/x) e5x+ln(x)
17.
Find the derivative:
y=ln(3x²-5x)
a)
(6x-5)/(3x²-5)
b)
6x-5
c)
(x³/3)-(5x²)/2
d)
(6x-5)/(3x³-2x)
18.
a)
1/(3x2+5)1/4
b)
(3x)/(2(3x2+5))
c)
(2(3x2+5)3/4)/(3x)
d)
(3x2+5)1/4
Reset
