For x=t², y=t³, what is dy/dx at t=4?
x=t², y=t³ के लिए dy/dx at t=4 क्या है?
Show answer and explanation
A. 6
ExplanationStep 1: Identify the concept: parametric differentiation. Step 2: dy/dx=(dy/dt)/(dx/dt)=3t²/2t=3t/2. At t=4, it is 6. 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=4 पर 6। Step 3: याद रखें: Parametric form में derivatives का ratio लें।