Online Test

Question # 1

d/dx[ax^m+bxⁿ]

Choose an answer

ax^m-1 +bx^n-1

amx^m-1+bnx^n-1

xm-1 +x^n-1

mx^m-1 + nx^n-1

If f(x) = tanx, then f'(x) = ?

Choose an answer

sec²x

sec³x

cosec²x

-cosec²x

Derivative of the function y = |x| at x = 0

Choose an answer

1

±1

does not exist

0

Choose an answer

2xcosx²

cosx²

2xcos²x

2cosx²

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

Choose an answer

f(x)

1/ f(x)

f'(x)/f(x)

f'(x)/ lna

If y=e^x then dy/dx =

Choose an answer

1/e^x

e^-x

e^x

None of these

Tailor Series Expansion is only valid if it is:

Choose an answer

Divergent

Convergent

Both(a)&(b)

None of these

If ∫'(c) = 0, then f has relative maxima at x=c if

Choose an answer

∫'' (c) > 0

∫''(c) < 0

∫''(c) = 0

∫'' (c) ≥0

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

Choose an answer

cos x

1

0

-1

Choose an answer

None of these

If y = e^ax, then y⁴=

Choose an answer

a⁴e^ax

2 e^ax/a

3e^ax

x e^ax

d/dx (a^f(x)) =

Choose an answer

a^f(x)

a^f(x) ∫

a ^∫(x) ∫ (x)

a^∫(x) ∫ (x)Ina

d/dx (f(x) . g(x)) = ?

Choose an answer

f(x) g'(x) - f'(x) g(x)

f'(x) g(x) - f(x) g'(x)

f'(x) g(x) + f(x)g'(x)

f'(x) g'(x)

y=Cosec hx then dy/dx=

Choose an answer

-Cot hx Cosec hx

-Tan hx Sec hx

Cot hx Cosec hx

Cot hx Sin hx

If y=e^ax then dy/dx =

Choose an answer

1/e^x

ae^ax

e^ax

None of these

Derivative of log x is:

Choose an answer

1/x

1/x log a

1/x/1/Ina

1/x In a

For stationary point for a function f we have f'(x)=

Choose an answer

0

+ve

-ve

∞

Notation used by Cauchy for the derivative of f(x) is

Choose an answer

f'(x)

f"(x)

Df(x)

d/dx cos hx = ?

Choose an answer

sin hx

-sin hx

cosec hx

cos hx

If y = sin x then

More Classes

Other Links

Ics Part 2 Mathematics Chapter 2 Test Online MCQs With Answers

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer