Related Rates โ Class 12 Mathematics Formula | MscTutor
Formula deep page
Related Rates
Use chain rule: dV/dt = dV/dr ร dr/dt
This formula belongs to the chapter "Application of Derivatives" in Class 12 Mathematics. Use it after identifying the right variables, matching the chapter context, and writing the substitution clearly.
How to use it
Identify the quantity you need to find.
Check the related variables and units from the question.
Substitute values carefully into the formula.
Simplify step by step and write the final statement.
Worked cue
Sphere: V=4ฯrยณ/3 โ dV/dt=4ฯrยฒรdr/dt. Given dr/dt=2cm/s at r=5: dV/dt=4ฯร25ร2=200ฯ cmยณ/s
Rule note: Sphere: V=4ฯrยณ/3 โ dV/dt=4ฯrยฒรdr/dt. Given dr/dt=2cm/s at r=5: dV/dt=4ฯร25ร2=200ฯ cmยณ/s