For x=t², y=t³, what is dy/dx at t=5?
x=t², y=t³ के लिए dy/dx at t=5 क्या है?
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Correct Answer
C. 15 / 2
ExplanationStep 1: Identify the concept: parametric differentiation. Step 2: dy/dx=(dy/dt)/(dx/dt)=3t²/2t=3t/2. At t=5, it is 15/2. 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=5 पर 15/2। Step 3: याद रखें: Parametric form में derivatives का ratio लें।