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Se consideră funcţia f:0, , () 8 fx x lnx2 BAC 2016 OLIMPICI a)Arătați că fx xl 22 2xx,0, x b)Determinați intervalele de monotonie a funcției f c)Demonstraţi că ecuaţia fx 0 are două soluţii reale distincte SOLUȚIE: a) 2 2
exp(x) = inverse of ln(x
Solving Equations We can use the formula below to solve equations involving logarithms and exponentials elnx = x and lnex = x Example Solve for x if ln(x + 1) = 5 I Applying the exponential function to both sides of the equation
France métropolitaine 2016 Enseignement spécifique
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Calculus Online Textbook Chapter 7 Sections 71 to 7
7 Techniques of Integration To repeat: We exchanged the integral of In x for the integral of 1 EXAMPLE 2 For 5 x cos x dx choose u = x and dv = cos x dx (so v(x) = sin x):
2003 Doug MacLean
Differentiation of Log and Exp Functions Exercises-3 U n i v ers i t a s S a s k at che w n e n s i s DEO ET PAT-RIÆ 2003 Doug MacLean Solution Set I (I 1) f(x)=ln x3 +1 x2 −1 Back to Questions
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5 9 Representations of Functions as a Power Series Brian E Veitch 2 3 x = X1 1 2 3 x 3 n 1 3 Express x 2x2 + 1 as a power series Rewrite x 2x2 + 1 as x 1 1 + 2x2 = x 1 1 ( 2x2) If we let r = 2x2, we get
EXAMENUL DE BACALAUREAT NAȚIONAL 2020 simulare județeană
cercetĂrii inspectoratul Școlar judeȚean h u n e d o a r a ministerul educaȚiei Și _____ str gh baritiu nr 2, 330065 - deva, j
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