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3. * (m) We learned the Power Rule for derivatives: The derivative of the function f (11:) : 5c is the function f ' (5c)

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3. * (m) We learned the Power Rule for derivatives: The derivative of the function f (11:) : 5c\" is the function f ' (5c) : nccn'l. Use this to compute the derivative of each of the following functions. This problem will be graded as correct or incorrect only; no work needs to be shown. ) (c) (-/3)f(9:) (d) ewes) = m ) 5.*( 5+5+5+5 )Use the Product/Quotient Rule to calculate the derivative for the function f; (a) (/5) f(8) (8'i +88)(7 31) 0)) (-/5) f ($) 932.23?\" (C) (-/5) f (93) $er ((0 (/5) x) MICE )1 11(56) 7. * 10:10 Use the given values to compute the derivatives. (a) (-/10) Given f(5) = 2,1\"(5) 7. Calculate F'(5), Where F(3) = 3:2f(:1:) (b) (-/10) Given f(2) = 5,f'(2) = 7,g(2) : 2,g'(2) = 3. Calculate H'(2), where ml") : f(w)9(:v) 10. * (/20) Find the equation of the tangent line to the function 9(37) at 30 2 1. Where 9(33) : f'(:c) and x) : 89:3 | 3:152 | 53:. 11. * (/ 20) Calculate following derivatives: (a) %, where t) 2 16t tan(t) (b) f'(m), where f(.il':) = 33.45%

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