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Math 12 Chapter 2
Differentiation
Test - 3
1.
The slope of y = x
2
+ sin x, is _____________________at x = 0.
a) 2
b) 3
c) 1
d) 4
2.
d / dx [1/g(x)] = ________________
a) -[g(x)]
-2
g(x)'
b) [g(x)]
-2
g(x)'
c) -[g(x)]
2
g(x)'
3.
If u and v are two functions of x then d/dx (u/v) = (v.u' - uv')/v
2
is called _______________
a) Octet Rule
b) Quotient rule
c) Chain rule
4.
The derivative of [f(x)]
n
w.r.t. x is _________________
a) n[f(x)]
n1
f(x)'
b) n[f(x)]
n-2
f(x)'
c) n[f(x)]
n-1
f(x)'
5.
If x3 + y3 = 9 then dy/dx = _____________________
a) -x
2
/y
2
b) x
2
/y
2
c) -x
3
/y
2
6.
dy/dx = dy/du . du/dx is known as _______________ rule.
a) Quotient rule
b) Octet Rule
c) Chain rule
7.
The derivative of sin x w.r.t. cos x is ____________________
a) -coty
b) -cotx
c) cotx
8.
_________________ is the derivative of lne
2x
.
a) 5
b) 6
c) 4
d) 2
9.
d/dx (sin
q
+ x) is __________________
a) 2
b) 1
c) 3
d) 4
10.
1 /
Ö
1+x
2
is the derivative of ______________
a) sinh
-2
x
b) sinh
1
x
c) sinh
-1
x
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