Online Test

Question # 1

If y=Sec x then dy/dx=

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Tan x

Cot x

-Cosecx

Sec x Tanx

f(x)=xⁿ, n≠1 then f'(x)=

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x^n-1

nxⁿ⁺¹

nx^n-1

(n+1)xⁿ

If y=Sinhx then dy/dx=

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-Sin hx

Coshx

-Coshx

1/Sinhx

y=in(f(x)) then dy/dx=

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f(x)

1/ f(x)

f'(x)/f(x)

f'(x)/ lna

Derivative of e^sinx is:

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a^sinxin a

e ^Sinix Cosx

sin xe^sinx-1

a ^sinx(Cos x)

y=ln x

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x

1/x

x/ lna

None of these

If f(x) = x²then f'(x) =

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x

1

x³

2x

The function f(x) = ax² + bx + c has maximum value if

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a>0

a<0

a>1

a>2

d/dx cos hx = ?

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sin hx

-sin hx

cosec hx

cos hx

If c∈Dfand f'(c)=0, then the point (c,f(c)) on the graph of f is named as a :

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Stationary point

Point of intersection

Critical point

None of these

If c∈Dfand f'(c)=0, then the number c is called a :

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Stationary point

Critical value

Relative extreme

None of these

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2xcosx²

cosx²

2xcos²x

2cosx²

The Newton df(x) is used for derivative by:

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Leibniz

Newton

Lagrange

Caunchy

The process of finding f' is called:

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Differentiation

Integration

Both (a)&(b)

None of these

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0

The Notation dy/dx is used for the derivative by:

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Newton

Cauchy

Lagrange

Leibniz

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2a

a

0

None

If f(x) = sin x, then f' (0) =

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cos x

1

0

-1

If y = sin x then

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If y=a^x then dy/dx =

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xa^x

a^xln a

a^x/ lna

None of these

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Ics Part 2 Mathematics Chapter 2 Test Online MCQs With Answers

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