Home › AP Calculus AB › Mathematics › Applications of Derivatives › The rule that resolves such a limit by different…
The rule that resolves such a limit by differentiating numerator and denominator separately is:
ALaplace's rule
BL'Hopital's rule
CLeibniz's rule
DLagrange's rule
Answer & Solution
Correct answer: B. L'Hopital's rule
1. The quotient itself is not differentiated as a quotient.
2. Top and bottom are differentiated on their own, then the limit retried.
3. That is L'Hopital's rule.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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:A limit produces the form zero over zero, so its behaviour cannot be read off directly. ThA farmer wants the largest area from a fixed length of fencing. Setting up and solving tha