Question
Download Solution PDFComprehension
निर्देश : निम्नलिखित प्रश्नों के लिए नीचे दिए गए कथनों पर विचार करें:
माना f : (-1, 1) → R एक अवकलनीय फलन है जहाँ f(0) = -1 और f’(0) = 1 माना h(x) = f(2f(x) +2) और g(x) = (h(x))2.
h’(0) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
मान लीजिये कि f: (-1, 1)→ R एक अवकलनीय फलन है जहाँ f(0) = -1 और f'(0) = 1
⇒ h(x) = f(2f(x) + 2)
⇒ h'(x) = f'(2f(x) + 2)2f'(x)
⇒ h'(0) = f'(2f(0) + 2).2f'(0)
= f'(-2 + 2).2(1)
= f'(0).2 = (1).2 = 2
∴ विकल्प (d) सही है।
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