BITSAT PYQ Differentiation - Chapter-wise Questions with Solutions

About Differentiation PYQs

Differentiation has 20 previous year questions in the Quantrex Academy BITSAT Mathematics bank. The 20 questions in this list come from BITSAT (20), spanning 2011 to 2024. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

2024: 3
2023: 5
2021: 3
2020: 1
2019: 1
2015: 1
2013: 1
2012: 4
2011: 1

BITSAT Differentiation PYQs with Solutions

About Differentiation PYQs

Questions by year (this list)

Differentiation questions with solutions

If x 1+y +y 1+x =0 , then (d y)/(d x)=

If y= ^ -1 ( x -x 1+x^ (3)/(2) ), then y^ (1) is equal to

At x=(π^2)/(4), (d)/(d x)( ^ -1 ( x )+ ^ -1 (e^x))=

The slope of the tangent to the curve x=3 t^2+1 , y=t^3-1 at x=1 is:

If y^x=e^ y-x , then (d y)/(d x) is equal to

If f(x)= 1+ ^2(x^2) , then the value of f^ ( π 2 )

The derivative of e^ x^3 with respect to x is

If y= ((1+ 2 θ)/(1- 2 θ)) , then (d y)/(d θ) at θ=(3 π)/(4) is :

If 2^ x +2^ y =2^ x+y , then (d y)/(d x)=

If x= 1-t^ 2 1+t^ 2 and y= 2 t 1+t^ 2 , then (d y)/(d x) is equal to :

(d)/(d x) ( ^ -1 (1+ (x)/(2))/(1- (x)/(2)) ) is equal to

If x y+y^ 2 = x+y, then find (d y)/(d x) is

Let f ( x ) = x [x], x ∉ Z , ( [ · ] denotes greatest integer function), then f^ ' (x) is equal to

If g is the inverse of function f and f^ (x)= x , then ^ (x) is equal to

If y=1+x+ x^ 2 2 ! + x^ 3 3 ! +…. ∞, then (d y)/(d x) is equal to

Let f(x+y)=f(x) · f(y) for all x, y where f(0) ≠ 0 If f(5)=2 and f^ (0)=3, then f^ (5) is equal to-

If x=a θ and y=b θ, then d^ 2 y d x^ 2 is

The diagonal of a square is changing at the rate of 0.5 cm / . Then the rate of change of area, when the area is 400 cm^ 2 , is equal to

For the function f(x)= x^ 100 100 + x^ 99 99 +… x^ 2 2 +x+1 ^ (1)=mf^ (0), where m is equal to

If \(y=x^ x^2 \), then \( (d y)/(d x) \) is equal to

Related BITSAT Mathematics chapters

Differentiation in other exams

BITSAT Differentiation PYQs with Solutions

About Differentiation PYQs

Questions by year (this list)

Differentiation questions with solutions

If x 1+y +y 1+x =0 , then (d y)/(d x)=

If y= ^ -1 ( x -x 1+x^ (3)/(2) ), then y^ (1) is equal to

At x=(π^2)/(4), (d)/(d x)( ^ -1 ( x )+ ^ -1 (e^x))=

The slope of the tangent to the curve x=3 t^2+1 , y=t^3-1 at x=1 is:

If y^x=e^ y-x , then (d y)/(d x) is equal to

If f(x)= 1+ ^2(x^2) , then the value of f^ ( π 2 )

The derivative of e^ x^3 with respect to x is

If y= ((1+ 2 θ)/(1- 2 θ)) , then (d y)/(d θ) at θ=(3 π)/(4) is :

If 2^ x +2^ y =2^ x+y , then (d y)/(d x)=

If x= 1-t^ 2 1+t^ 2 and y= 2 t 1+t^ 2 , then (d y)/(d x) is equal to :

(d)/(d x) ( ^ -1 (1+ (x)/(2))/(1- (x)/(2)) ) is equal to

If x y+y^ 2 = x+y, then find (d y)/(d x) is

Let f ( x ) = x [x], x ∉ Z , ( [ · ] denotes greatest integer function), then f^ &#39; (x) is equal to

If g is the inverse of function f and f^ (x)= x , then ^ (x) is equal to

If y=1+x+ x^ 2 2 ! + x^ 3 3 ! +…. ∞, then (d y)/(d x) is equal to

Let f(x+y)=f(x) · f(y) for all x, y where f(0) ≠ 0 If f(5)=2 and f^ (0)=3, then f^ (5) is equal to-

If x=a θ and y=b θ, then d^ 2 y d x^ 2 is

The diagonal of a square is changing at the rate of 0.5 cm / . Then the rate of change of area, when the area is 400 cm^ 2 , is equal to

For the function f(x)= x^ 100 100 + x^ 99 99 +… x^ 2 2 +x+1 ^ (1)=mf^ (0), where m is equal to

If \(y=x^ x^2 \), then \( (d y)/(d x) \) is equal to

Related BITSAT Mathematics chapters

Differentiation in other exams

Let f ( x ) = x [x], x ∉ Z , ( [ · ] denotes greatest integer function), then f^ ' (x) is equal to