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If f(x) = x3 + x - 5 and g(x) be another function such that g(f(x)) =x then find the value of g'(63)(1) \(\frac1{50}\)(2) \(\frac1{49}\)(3) \(\frac1{48}\)(4) \(\frac1{47}\) |
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Answer» Correct option is (2) \(\frac1{49}\) \(g' (f(x)) = \frac1 {f'(x)}\) .....(1) to find g'(63) put f(x) = 63 x3 + x - 5 = 63 x(x2 + 1) = 68 ⇒ x = 4 Now f'(x) = 3x2 + 1 ⇒ f'(4) = 49 then the value of g'(63) = \(\frac1{49}\) |
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