For x²+y²=145, what is dy/dx at (8,9)?
Curve x²+y²=145 पर point (8,9) पर dy/dx क्या है?
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Correct Answer
D. -8 / 9
ExplanationStep 1: Identify the concept: implicit differentiation. Step 2: From 2x+2y dy/dx=0, dy/dx=-x/y. Substituting the point gives -8/9. Step 3: Exam tip: In implicit differentiation, treat y as a function of x.
Step 1: अवधारणा implicit differentiation है। Step 2: 2x+2y dy/dx=0 से dy/dx=-x/y। Point रखने पर -8/9। Step 3: याद रखें: Implicit differentiation में y को x का function मानें।