11 - Differentiation Questions Answers

ROORKEE 1988 MATHS ME EK QUESTION H SECOND ORDER DERIVIATIVE KA...PLEASE ANYONE CAN PROVIDE ME THE SOLTN

Asked By: SUFIYAN KARIM 2 year ago
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Maths >> Calculus >> Differentiation Board Exam
If y= asinx+bcosx then prove that y²+(dy/dx)²=a²+b²
Asked By: RIYA GUPTA 3 year ago
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a non zero polynomial having real coefficients satisfy the relation f(x)=f'(x)f''(x) then find f'''(x)

a1/2

b1/3

c1/4

d1/6

Asked By: AMRITA 3 year ago
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If f'(x)=g'(x) and g'(x)=-f(x) for all x and f(2)=4=f'(2), then f^(4)+g^(4)is
Asked By: ASHIT MAHAJAN 5 year ago
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d/dx((1+x^2+x^4)/(1+x+x^2))=ax+b

then a=?, b=?

Asked By: RAJIV 5 year ago
is this question helpfull: 21 8 read solutions ( 2 ) | submit your answer
Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

1+x2+x4 = (1+x+x2)(1-x+x2)

now solve

Maths >> Calculus >> Differentiation Engineering Exam

x(√1+y)+y(√1+x)=0,prove that dy/dx=-1/(1+x)2

Asked By: SANDEEPNALCO 6 year ago
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A tarder buys goods at 19% off the list price he wants to get a profit 20% after allowing a discout of 10%. At what % above the list price should he marks the goods.

Answers - 

1) 4%

2) 6%

3) 8%

4) none

Asked By: UTKARSH BHARDWAJ 6 year agoSolved By: SAGAR
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Sir,is the function (2x+5) is differentiable everywhere in its domain set. If yes the what is the case with l2x+5l.
Asked By: GAURAV MAHATE 6 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

since first one is a straight line so at every point only one tangent is possible so it is differentiable

but second one which is modulus has a sharp turn at x = -5/2 so two tangents at x = -5/2 are possible so is not differentiable.

lim ∑ nr=1 1/n er/n n tends to infinity.

Asked By: NIKHIL VARSHNEY 6 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

limn->∞ r=1er/n/n

This question is related to definite integration, consider 1 and divide it into n parts, upto nth part total value = r/n is equivalent to x and 1/n is dx

so question will be

01 exdx 

now solve it

if f(X)=xlxl then find f-1(x) can you please explain me the meaning and use of sgn

 

Asked By: NIKHIL VARSHNEY 7 year ago
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Answer Strategies and trick by Manish sir (it will help you to solve it by yourself)

f(x) = x|x|  => f(x) = -x2  for negative real values of x  and f(x) = x2 for positive real values of x

so f-1(x) = -√|x|  for negative real values and = +√|x| for positive real values of x

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