Question # 1

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

According to 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

(n-1)x^n-1

graph x =y²is symmetric about

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x axis

y axis

origin

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

What is the base of natural lograithem?

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2.71

10

5

Any real number

For a function f ,let f'(x_n)=0 for some n Does the newton method for work for approximating the solution of f(x)=0

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yes

no

not sure

______ is the special case of Taylor's Theorem

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Roll's theorem

Picard Method

Integration

If f and g are continuous function on an interval [a,b] f(x)>=g(x) for a<=x<=b and ,then area is bounded by the lines parallel to :

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X-axis

Y axis

Both x and y axis

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

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Non increasing

non decreasing

increasing

decreasing

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

If the geometric series a+ar+ar²+ar³.......+ar^{k-1 which of the following is true for the given series}

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converges

Diverges

Give no information

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

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1

-1

1/(1-x)²

{1/2ⁿ}ⁿ1 represent the sequence

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-1/2,-1/4,-1/8

1/2,1/4,1/7=8

0,1,1/2,1/4

If x>0 then d/dx[lnx]=_______

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1

x

1/x

ln 1/x

log_ba^r=____?

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alog_br

r log_ba

log_ba /log_br

Let y=(x³+2x)³⁷ Let Which of the following is correct?

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dy/dx=(37)(x³+2x)³⁶

dy/dx=(111x²)(x³+2x)³⁶

dy/dx=(111x²+74)(x³+2x)³⁶

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