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Hi, Please answer the following showing step by step. Thank you! Review Derivative Formulas The Constant Rule (c) = 0, where c is a real

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Review Derivative Formulas The Constant Rule (c) = 0, where c is a real number The Power Rule For all non-zero constants n, da (a" ) = non-1. The Constant Multiple Rule Given the function cf (a), the constant multiple rule gives us da ( of ( 2) ) = c. + (f (2) ) . The Sum & Difference Rule Let f (a) and g (a) be two differentiable functions, then (f (x) + g (2) ) = (f (2) ) + + (g (x ) ).Find the derivative of f (ac ) = 2x3 - Vac + 8.Exponential and Logarithmic Derivatives deem) = e %(1nlwl)=% Given the exponential functions of the form f (:13) = b": where the base bis a positive real number such that b 75 1 0%(5'3) = be -1n(b) If y = 1031; :L' Where b > 0 is a real number such that b 75 1, then #2003") = 33.11:, Find the derivative of f (3:) = 4": and evaluate fl (3). Round your answer to four decimal places, if necessary. Find the derivative of f (m) = 28'" -l- 51n(93) and evaluate f' (2). Round your answer to four decimal places, if necessary. Trigonometric Derivatives dx sin(a) = cos(a) d dx cos (a) = - sin (x) dac d tan(x) = sec2 (x) dar cot(a) = - csc2 (x) d sec(x) = sec (x) tan(x) dx d dx csc(a) = - csc(x) cot(x)Find the derivative of f (m) = tan(;c) + 6 sec($) and evaluate f" (g). Round your answer to four decimal places, if necessary. Find the derivative of f (a ) = 2 sin(x) - 3 cos(ac ) and evaluate f' (?)

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