Home > Application of Derivatives > CBSE > 083b92c9-6832-4233-8c73-121bcf367465
Not the exact question you were looking for?

Paste your question to our Mathbee AI Mentor below to get an instant step-by-step solution.

Application of Derivatives
Oswaal
CBSE
Grade 12

Question:

A ladder $5$ m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at rate of $2$ cm/s. How fast is its height decreasing when foot is $4$ m away from wall?

Step-by-Step Solution

Key Concept: x^2+y^2=25. At x=4, y=3. 2x dx/dt + 2y dy/dt = 0 => 4(2) + 3 dy/dt = 0 => dy/dt = -8/3 cm/s.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer:
Mathbee AI Mentor (Free Demo)

Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.

Master Application of Derivatives with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free