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WHICH LAW OF DIFFERENTIATION IS USED TO IMPRISON FUNCTIONS? Derivatives of Composite Functions If y = 1(g(x)) y = 3cos(2x5) then y' = f(g(x))g'(x) y' = -3sin(2x5).(10x1 ) y' = -30x^sin(2x5) Find the derivative y' of each function. 1) y = (3x2 + 1) 4 2) y = 3e2x2 3) y = sin(2x3) 4) y = 2tan(x5) 5) y = V3x2 + 1 -1 6) y = 3x2 +1 7) y = In(3x2 + 1) 8) y = cosV/x 9) y = e1/x 10) y = 3sin2(x) 11) y = tan5(2x) 12) y = 5-3Cos2(x) Derivatives. 6x 3x A. Y = (3x2 + 1) B. y' = 6XV3x2 + 1 c. y' = V3 x 2 + 1 E. y' = 24x(3x2 + 1) 3 E. y' = 12xe2x? H. y' = 6sin(x)cos(x) |1. y' = 6x2cos(2x3) 6X L. y = 3X2 + 1 M. Y = 2VY COS VX N. y' = *ze"/x P. y' = 2sec2(x5) R. y' = 2 sin Vx s. y' = 10tan(2x)sec(2x) T. y' = 10x^sec2(x5) u. y' = 10sec2(2x)tan*(2x) 4 10 5 12 6 8 41