Application of Derivatives questions
910 published questions with worked solutions.
- If Rolle's theorem holds for the function f(x) = 2x^3 + bx^2 + cx, x [-1,1] at the point x = 12, then 2b + c is equal to
- The distance from the origin, of the normal to the curve, x = 2 t + 2t t, y = 2 t - 2t t at t = 4, is :
- The equation of a normal to the curve, y = x ( 3 + y ) at x = 0, is:
- Let k and K be the minimum and the maximum values of the function f(x) = (1+x)^ 0.6 1+x^ 0.6 in [0,1], respectively, then the...
- Let x, y, z be positive real numbers such that x+y+z = 12 and x^3y^4z^5 = (0.1)(600)^3. Then x^3+y^3+z^3 is equal to
- If m and M are the minimum and the maximum values of 4+ 12 ^22x-2 ^4x, x R, then M - m is equal to:
- The minimum distance of a point on the curve y = x^2-4 from the origin is
- If the tangent at a point P, with parameter t, on the curve x = 4t^2+3, y = 8t^3-1, t R, meets the curve again at a point Q, then...
- Let f(x) = ^4x+ ^4x. Then, f is an increasing function in the interval:
- The tangent at the point (2,-2) to the curve, x^2y^2 - 2x = 4(1-y) does not pass through the point:
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