Formula deep page
Slope of Tangent
m = dy/dx|_(x₁,y₁) = f'(x₁)
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
y=x³-2x at (1,-1): m=3x²-2|_{x=1}=3-2=1. Tangent: y+1=1(x-1)→y=x-2