Application of Derivatives questions
910 published questions with worked solutions.
- The maximum value and minimum value of the volume of the parallelepiped having coterminous edges i + x j + k , j + x k and x i +...
- The radius of the base of a cone is increasing at the rate 3 cm/minute and the altitude is decreasing at the rate 4 cm/minute....
- The function x^5 - 5x^4 + 5x^3 - 10 has a maximum, when x is equal to
- The function f defined by f(x) = (x + 2)e^ -x is
- Let f be a function which is continuous and differentiable for all x. If f(1) = 1 and f'(x) 5 for all x in [1, 5], then the...
- The normal to the curve x = 9 (1 + cos ), y = 9 sin at always passes through the fixed point
- An open tank with a square bottom is to contain 4000 cubic cm. of liquid. The dimensions of the tank so that the surface area of...
- If f(x)=x e^ x(1-x) , then f(x) is
- The approximate value of [3] 64.04 is
- The sum of two nonzero numbers is 4. The minimum value of the sum of their reciprocals is
- The combined equation of the tangent and normal to the curve xy=100 at the point (5,3) is _____
- The length and breadth of a rectangle are x cm and y cm respectively. If the length decreases at the rate of 5 cm/minute and the...
- The maximum value of x^ 2/3 +(x-2)^ 2/3 is
- The point on the curve 4y^2-4y+2x-1=0 at which the tangent becomes parallel to Y-axis is
- A particle moves along a curve y= 2x^3-1 3. The points on the curve at which the y co-ordinate is changing 18 times the x...
- The length of the perpendicular drawn from the origin on the normal to the curve x^2 + 2xy - 3y^2 = 0 at the point (2, 2) is
- If f(x) = (1 + x) - 2x 2 + x then f(x) is increasing in
- The angle , at which the curves y = 3^x and y = 7^x intersect, is given by
- The function f(x) = x^3 - 6x^2 + ax + b satisfies the conditions of Rolle's theorem in [1, 3]. Then the values of a and b are...
- f(x)= x 2 + 2 x , x 0 is strictly decreasing in
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