Question # 1

The mean value of theorem states that " Let function f can be differentiable on (a,b) and continuous on [a,b] then there is no exist at least one point c in (a,b) where ______

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f'(c)=f(b)-f(a)/b-a

f(c)=f(b)-f(a)/b-a

f(c)=f(a)-f(b)/b-a

Sigma notation is represent by

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M

N

Σ

Lim _x→_a^{f(x)=____ where f(x)=k?}

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k+2

K+1

k

d(sec x)/dx=?

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sec x tan x

sec x tan y

cosec x cot x

if xy=4 they dy/dx ?

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-1/x²

4/x²

-4/x²

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

30^o

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π/3

π/4

π/6

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']

What is the length of each subinterval,if the interval [1,3]is divided into n sub interval of equal length?

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1/n

2/n

3/n

If f(x)=3x⁸+2x+1 then f'x)

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3x⁷+2

24x⁷+2

3x⁷+23

no of x and y are intercept for the equation y=1/x

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Two x intercepts

Two y intercepts

No x and y intercept correct

None of these

lim x→0⁺ln x/1/x=_______

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1

0

none of these

A line is called a tangent line to the circle if it meets the circle at precisely.....

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one point

two point

infinite points

If a function has an extreme value (either a maximum or a minimum ) on an open interval (a,b) then the extreme value occurs at ____ of f

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First point

Mid point

Critical Point

End Point

What is the length of each sub interval ,if the interval [1,3] is divided into n sub interval of equal length?

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1/n

2/n

3/n

4/n

Which of the following is true for the sequence {n}∞ n=0?

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Non increasing

non decreasing

increasing

decreasing

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