For y=x^4, what is d²y/dx² at x=2?
y=x^4 के लिए d²y/dx² at x=2 क्या है?
Show answer and explanation
D. 48
ExplanationStep 1: Identify the concept: second derivative. Step 2: The second derivative is n(n-1)x^(n-2). Substituting x=2 gives 48. Step 3: Exam tip: Apply the power rule twice for a second derivative.
Step 1: अवधारणा second derivative है। Step 2: Second derivative n(n-1)x^(n-2) है। x=2 रखने पर 48। Step 3: याद रखें: Second derivative के लिए power rule दो बार लगाएं।