HARD
JEE Main/Advance
IMPORTANT
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Important Questions on Application of Derivatives
HARD
JEE Main/Advance
IMPORTANT
Let be real valued functions defined on the interval by and . If and denote, respectively, the absolute maximum of and on , then

HARD
JEE Main/Advance
IMPORTANT
The number of points in for which is

HARD
JEE Main/Advance
IMPORTANT
A rectangular sheet of fixed perimeter with sides having their lengths in the ratio is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is the resulting box has maximum volume. The lengths of the sides of the rectangular sheet are

HARD
JEE Main/Advance
IMPORTANT
The function has a local minimum or a local maximum at equal to

HARD
JEE Main/Advance
IMPORTANT
Let and be given by , then

MEDIUM
JEE Main/Advance
IMPORTANT
The slope of the tangent to the curve at the point is

HARD
JEE Main/Advance
IMPORTANT
Let and be twice differentiable functions such that and are continuous functions on . Suppose and , If , then

HARD
JEE Main/Advance
IMPORTANT
If is a differentiable function such that for all and then
