sin 0
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11. Let f(1) = cos 1. Use the definition of the derivative to prove that f'(:1) = -sin . Solution: We have Β· f'(:1) = lim cos(2+h) - cos(2) +0 cos(1) cos(h) - sin() sin(h) - cos(1) = lim h0 sin / β Jin contar) (cos(1) = -1) = sin(e) (sinm) h0 sin(h) cos(h) - = lim cos(2) h cos(h) - 1 = cos(x) lim h- oh = cos(x)0 - sin(x)(1) = - sin h c) lim 0 / h
1. 22 sin(4x) 2 1+0 sin(2x) sinΒΊ (3x) = cult Win 0 tonn
3. Which of the following statements are true? A. aresin (sin (1)) βΒ» C. aresin (sin (17)) is undefined D. sin (= 0 ( arcsin (sin (37.)) = -