Two functions with the same derivative differ by a:
AMultiple
BSquared
CReverse
DConstant
Answer & Solution
Correct answer: D. Constant
1. Take the difference of the two functions.
2. Its derivative is zero at every point of the interval.
3. A function with zero derivative is constant, so they differ by one.
_Source: NCERT Class 12 Mathematics Part II, Chapter 7, Integrals._
Related questions
A tank is draining and a student is asked how fast the depth falls when the volume is chanThe notation used for a family of antiderivatives, complete with its constant, is the:Knowing an object's velocity, a student recovers its position by finding an:A function whose derivative is the given function is called its:Calculators and computers rely on that same tangent-based idea when they find:An iterative technique for finding zeroes, built on tangent line approximations, is:The rule that resolves such a limit by differentiating numerator and denominator separatelA limit produces the form zero over zero, so its behaviour cannot be read off directly. Th