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3. Find the derivative of the following functions. (a) f(x) = x Inc (b) g(x) = V1 β sinΒ²x sec(22 + x) (c) h() = 3e21 +1
1. Find the derivative of f'(x) of each of the following functions. You do not need to simplify your answer. ( fr) - sin (a) f(1) = 3e? +1 (b) f(x) = 5x8 tanr (c) f(1) = cos (In (22))
1 2. (a) Find the tangent line to the graph of s(2)=x+ when r = 1. (b) Find the derivative of p(x) = (ln(5.c) + )(2-3V ). (c) Find the derivative of j(x) = 60(2*+52) (d) Find the derivative of k(2) = (e) The following table gives some values for f(x), f'(x), g(x), and g'(x). | f(x) | 3|1|2|2 f'(x) | 1 46 | 4 g(1) 0-183 () -2 0 4-1 β’ Let h(x) = f(t)g(2). Find h' (6). β’ Let r(x) = f(g(x)). Find /'6).
