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']

The tan(x) is discontinuous at the point where

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Cos(x)=0

Sin(x)=0

Tan(x)=0

What is the sum of the following series?

1+2+3+----+n

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n+1/2

(n+1)(n+2)/2

n(n+2)/2

n(n+1)/2

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

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

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dy/dx=37(x³2x)³⁶

dy/dx=111x²(x³2x)³⁶

dy/dx=(111x²+74)(x³2x)³⁶

If a quantity y depends on another quantity x in such a way that each value of x determines exactly one value of y,we say that y is ______ of x

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relation

Function

Nota function

Not a Relation

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

y=f(x) then the average rate of change of y with with respect to x over the interval [x_o,x₁] is the _______ joining the points (x_{o ,f(}x_o₎) and (x₁f(x₁)) on the graph of f

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Slope of the secant line

Slope of the tangent line

Secent line

none of these

lim_x→∞(-2x)=

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-2

0

2

Does not exist

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

If f''(x)<0 on an open interval (a,b) then which of the following statement is correct

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f is concave up on (a,b)

f is concave down on (a,b)

f is linear on a,b

Chain rule is a rule for differentiating ______ of functions

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Product

Sum

Composition

Difference

lim x→0 sin2x/x____

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2

4

1

8

log_b1/c=_____?

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log_bc

1-log_bc

-log_bc

1+log_bc

The graph x=y²is symmetric about ___ axis

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X -axis

Y-axis

origin

log_ba^r=____?

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a log_br

rlog_ba

log_ba/log_br

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