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Unformatted text preview: f ( x ) = e 2 x cos x at x = 0. Note the following: If f ( x ) = e ax for constant a , f ( x ) = ex. d dx ± (1 + e x ) 2 e x ² ex. d dx r 1 + e 2 x 1 ± e 2 x We have the following important result: For base a > 0, d dx a x = ex. Find the slope of the tangent line to f ( x ) = 4 6 x ± cos x at x = ± . ex. Find g ( x ) for g ( x ) = 3 4 x . Derivatives involving trigonometric functions ex. Find f ( x ) if f ( x ) = tan ± ±x 2 ² : ex. Find the equation of the tangent line to y = sin 3 x cos 3 x at x = ± 2 . ex. Find the derivative of f ( x ) = sec 2 (sin 4 x ). Additional Example ex. If g ( x ) = p x 2 + 3 p 2 x + 1, ±nd g (4)....
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 Spring '08
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