Question # 1

If f is a twice differentiable function at stationary point x_oan f'(x_o) <0 then f has relative _______ At x_o

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Minima

Maxima

None of these

Which operation could not be applied on the function?

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Cross Product

Sum

Division

The equation (x+4)²+(y+1)²=6 represent a circle having center at____ and radius

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(-4,1),undertoot 6

(-4,-11),undertoot 6

None of these

If f is a twice differentiable function at stationary point x_oan f'(x_o) >0 then f has relative _______ At x_o

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Minima

Maxima

None of these

d(tan x)/dx =___

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sec x

sec²x

cosec²x

cosec x

log_b1/t =________

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log_bt

1-log_bt

1+log_bt

-log_bt

According to the power rule of differentiation,if f(x)=xⁿwhere n is a real number then d/dx[xⁿ]=

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x^n-1

nx^n-1

nxⁿ⁺¹

y=1/1-x dy/dx if then

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1

-1

1/(1-x)²

The pythagoras theorem describe the relationship between the sides of

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right angle triangle

isoceleous triangle

equilateral traingle

y=x²/2

Let find the average rate of change of y with respect to x over the interval [3,4]

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25/2

7/2

25/14

7/14

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

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

Which of the following option is true for the sequence a_n={1/n}_n=1which of the following option is true for the sequence

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Increasing

Decreasing

Non increasing

Non Decreasing

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

If there is some function F such that d/dx[F(x)]=f(x) then antiderivatives of f(x) are F(x)+C .What does C represent?

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Polynomial

Constant

Dependent variable

Independent variable

if 2x-y=-3 they dy/dx=?

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2

-2

0

-3

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