For x=t², y=t³, what is dy/dx at t=2?
x=t², y=t³ के लिए dy/dx at t=2 क्या है?
Show answer and explanation
A. 3
ExplanationStep 1: Identify the concept: parametric differentiation. Step 2: dy/dx=(dy/dt)/(dx/dt)=3t²/2t=3t/2. At t=2, it is 3. Step 3: Exam tip: In parametric form, take the ratio of derivatives.
Step 1: अवधारणा parametric differentiation है। Step 2: dy/dx=(dy/dt)/(dx/dt)=3t²/2t=3t/2। t=2 पर 3। Step 3: याद रखें: Parametric form में derivatives का ratio लें।