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Differentiation — BITSAT Mathematics PYQs

20 previous year questions from Differentiation with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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Differentiation — BITSAT Mathematics PYQs

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= ^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^ ( 2 )

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

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

If 2^ x +2^ y =2^ x+y , then d y d x =

If x= 1-t² 1+t² and y= 2 t 1+t² , then d y d x is equal to :

d d x ( ⁻¹ 1+ x 2 1- x 2 ) is equal to

If x y+y²= 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 g ^ ( x ) is equal to

If y=1+x+ x² 2 ! + x³ 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 and y=b , then d² y d x² is

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

For the function f(x)= x¹⁰⁰ 100 + x⁹⁹ 99 + x² 2 +x+1 f ^ (1)= mf ^ (0), where m is equal to

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

Differentiation — BITSAT Mathematics PYQs

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= ^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^ ( 2 )

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

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

If 2^ x +2^ y =2^ x+y , then d y d x =

If x= 1-t² 1+t² and y= 2 t 1+t² , then d y d x is equal to :

d d x ( ⁻¹ 1+ x 2 1- x 2 ) is equal to

If x y+y²= x+y, then find d y d x is

Let f ( x ) = x x , x &#8713; Z , ( [ &#183; ] denotes greatest integer function), then f &#39; x is equal to

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

If y=1+x+ x² 2 ! + x³ 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 and y=b , then d² y d x² is

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

For the function f(x)= x¹⁰⁰ 100 + x⁹⁹ 99 + x² 2 +x+1 f ^ (1)= mf ^ (0), where m is equal to

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

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