Applications of Derivatives (Class 12)
Rate of change, tangent and normal, monotonicity, maxima/minima, approximations.
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Take a full mock →Q1 · Applications of Derivatives (Class 12) · MEDIUM
A ladder 5 m long is leaning against a vertical wall. The bottom of the ladder is pulled along the ground away from the wall at the rate of 1.5 m/s. How fast is the top of the ladder sliding down the wall when the bottom is 3 m away from the wall?
Q2 · Applications of Derivatives (Class 12) · EASY
Find the equation of the tangent to the curve y = x^3 - 3x^2 + 2 at the point (1, 0).
Q3 · Applications of Derivatives (Class 12) · HARD
A wire of length 28 m is to be cut into two pieces. One piece is bent into a square and the other into a circle. Where should the wire be cut so that the total area enclosed is minimum?
Q4 · Applications of Derivatives (Class 12) · HARD
A point on the curve y = x³ − 3x² + 4 where the tangent is parallel to the x-axis is