Eamcet - Maths - Differentiation Test

Test Instructions :

1. The Test is 1hr duration.
2. The Test Paper consists of 30 questions. The maximum marks are 30.
3. All the questions are multiple choice question type with three options for each question.
4. Out of the three options given for each question, only one option is the correct answer.
5. Each question is allotted 1 mark for each correct response.
6. 0.25 will be deducted for incorrect response of each question.
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If |x|

  

  

  

  

d/dx {Tan-14x/1+5x2+Tan-12+3x/3-2x}=

  

  

  

  

If x= acos3θ, y= asin3θ then d2y/dx2 at θ=π/4 is

  

  

  

  

If ay= sin(x+y) then y2+(1+y1)3 y=

  

  

  

  

If sin2 mx+cos2 ny=a2 then dy/dx=

  

  

  

  

If x2+5xy+y2-2x+y-6=0 then y’’ at (-1,1) is

  

  

  

  

d/dx{log(x2/ex)}=

  

  

  

  

If x-y=Sin-1 x-Sin-1 y then dy/dx=

  

  

  

  

If ‘f’ is differentiable function, f(1)=0, f1(1)=3/5 and y=f(e2x)ex then (dy/dx)x=0 =

  

  

  

  

If |x|

  

  

  

  

The derivative of Sin-1(3x-4x3) w.r.to Tan-1x/√ (1-x2) is

  

  

  

  

If y=sin(sin x)then y2+(tan x)y1+y(cos2x)=

  

  

  

  

d/dx{Sin-12x/1+x2}=

  

  

  

  

d/dx{Tan-1(x/1+√1-x2)}=

  

  

  

  

If x= a cos θ (1+cos θ), y=sin θ(1+cos θ) then (dy/dx)θ=π/2

  

  

  

  

d/dx{Tan-1(a+bcos x/b+a cos x)}=

  

  

  

  

If x= 2/t2, y=t3-1, then d2y/dx2=

  

  

  

  

d/dx{Tan-1√(1-sin x/1+sin x)}=

  

  

  

  

d/dx{Tan-1(3a2x-x3/a3-3ax2)}=

  

  

  

  

If x= a(θ+sin θ), y=a(1-cosθ) then d2y/dx2 at θ=π/4 is

  

  

  

  

d/dx { log√(cosec x+1)-√(cosec x-1)}=

  

  

  

  

The derivative of Sin-12x/1+x2 w.r.to Tan-12x/1-x2is

  

  

  

  

If x= 2 cos t- cos 2t, y= 2 sin t- sin 2t then dy/dx=

  

  

  

  

d/dx{sin2((1-x2)/(1+x2))}

  

  

  

  

If f(x)=x2sin(1/x) for x≠0, f(0)=0 then

  

  

  

  

The derivative of axlog x+(x2-1) sin x w.r.t x is

  

  

  

  

If x= sin t cos 2t, y= cos t sin 2t then (dy/dx)t=π/4

  

  

  

  

If ax2+2hxy+by2=1 then (hx+by)3y2=

  

  

  

  

If f(x)=√(x+2√(2x-4))+ )=√(x-2√(2x-4)) then

  

  

  

  

If y= xsin x+(sin x)x then dy/dx=

  

  

  

  

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