Question # 1

Suppose that f and g are differentiable function of x then d/dx[f][g]=

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[f'][g]-[f][g']/g²

[f'][g']

[f'][g]+[f][g']

A function f is called antiderivative of a function on a given interval if ______ =f(x),for all x in that interval

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F'(x)

F(x)

f(x)

f''(x)

if x²+y²=9 then dy/dx=?

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x/y

-x/y

-y/x

The power rule d/dx[xⁿ]=nx^n-1holds if n is

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an integer

a rational number

an irrational number

all of the above

Lim _x→₀sinx/x

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1

-1

0

2

If f is a continuous function such that lim_x_→+_∞=+∞ andlim_x_→+_∞=+∞ the f has on

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maximum value but no minimum

minimum value but not maximum

both maximum and minimum value

Sigma notation is represent by

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M

N

Σ

What is the base of natural lograithem?

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2.71

10

5

Any real number

For a sequence {a_n}if the ration of successive terms a_n+1/ a_n>1 then the sequence is known as

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Increasing

Decreasing

Non Increasing

Non decreasing

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

(x²-4)/(x-2) Natural domain is

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(-∞,2)U (2,+∞)

(-∞,2)

(-∞,0)

None of these

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