Application of Derivatives questions
910 published questions with worked solutions.
- The equation x^3 + x - 1 = 0 has
- The range of values of x for which f(x) = x^3 + 6x^2 - 36x + 7 is increasing in
- The maximum value of the function f(x) = 3x^3 - 18x^2 + 27x - 40 on the set S = x IR / x^2 + 30 11x is
- A water tank has a shape of inverted right circular cone whose semi-vertical angle is ^ -1 ( 1 2 ). Water is poured into it at...
- Let f(0) = -3 and f'(x) 5 for all real values of x. Then f(2) can have possible maximum value as
- The value of c of Lagrange's mean value theorem for f(x)= 25-x^2 on [1, 5] is
- The approximate value of _ 10 998 is (given that _ 10 e=0.4343)
- The maximum value of xy when x + 2y = 8 is
- An object is moving in the clockwise direction around the unit circle x^2+y^2=1. As it passes through the point ( 12, 3 2 ), its...
- The function f(x) = 2x^3 - 6x + 5 is an increasing function, if
- A square plate is contracting at the uniform rate 3 ,cm^2/sec, then the rate at which the perimeter is decreasing, when the side...
- A poster is to be printed on a rectangular sheet of paper of area 18 ,m^2. The margins at the top and bottom of 75 cm each and at...
- The approximate value of (3.978)^ 3/2 is
- The equation of the tangent to the curve x = a ^3 , y = a ^3 at = 4 is
- Let C be a curve given by y(x)=1+ 4x-3 , x> 34. If P is a point on C, such that the tangent at P has slope 23, then a point...
- If f(x)= x x (x>0), then it is increasing in
- The maximum value of x x is
- If Mean value theorem holds for the function f(x)=(x-1)(x-2)(x-3), x [0,4] then the values of c as per the theorem are
- The value of c for the function f(x) = x on [1, e] if LMVT can be applied, is
- In the surface area of a spherical balloon of radius 6 cm is increasing at the rate 2 cm ^2/ sec , then the rate of increase in...
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