Differential Calculus (BITSAT Mathematics): Questions 1 - 7 of 24

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Question number: 1

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

Find a for which f(x)=asinx+13sin3x has extreme at x=π3 is –

Choices

Choice (4) Response

a.

1

b.

0

c.

2

d.

1

Question number: 2

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

f(x)=alog x +bx2+x has its extreme value of x=1,x=2 . Then –

Choices

Choice (4) Response

a.

a=2,b=12

b.

a=2,b=1

c.

a=2,b=12

d.

All of the above

Question number: 3

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

If x>0 and a is known positive number then the least value of ax+ax is

Choices

Choice (4) Response

a.

2a

b.

a2

c.

a

d.

Question does not provide sufficient data or is vague

Question number: 4

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

The maximum value of sin(x+π6)+cos(x+π6) in the interval [0,π2] is attained at x=

Choices

Choice (4) Response

a.

π3

b.

π12

c.

π2

d.

π6

Question number: 5

» Differential Calculus » Domain and Range of Real Valued Function

MCQ▾

Question

The function 2x33x212x+4 has

Choices

Choice (4) Response

a.

One maximum and one minimum

b.

Two minima

c.

Two maxima and no minima

d.

Two maxima

Question number: 6

» Differential Calculus » Derivative » Exponential and Logarithmic

MCQ▾

Question

If y=x2x2+1+12log(x+x2+1) , then dydx equal to

Choices

Choice (4) Response

a.

2x2+1

b.

1x2+1

c.

x2+1

d.

None of the above

Question number: 7

» Differential Calculus » Derivative » Polynomial

MCQ▾

Question

limxo(1+x)n1x is equal to –

Choices

Choice (4) Response

a.

n

b.

1

c.

n1

d.

Question does not provide sufficient data or is vague

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