Question
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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.
g’(0) किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFव्याख्या:
दिया गया है:
f(0) = -1 और f'(0) = 1 मान लीजिये h(x) = f(2f(x) +2) और g(x) = (h(x))2
⇒ g(x) = (h(x))2
⇒ g'(x) = 2(h(x)).h'(x)
⇒ g'(0) = 2(h(0)).h'(0)
= 2f(2f (0) + 2).2
= 2f(0).2 = (-2).2 = -4
∴ विकल्प (a) सही है
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