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Unformatted text preview: d. Simplify your answer using the product and sum laws of limits. e. Use 1 ) sin ( lim = t t t and ) 1 cos ( lim =- t t t to show the final steps. 5. Just a short answer (and a short time) should be fine for the following: a. Calculate the 401 st derivative of y = sinx. b. At what values of t is ) 1 )( 3 ( 1 ) ( +-= t t t g not differentiable? c. Calculate the derivative of sec ) ( = m using that the secant function is the reciprocal of cosine function. 6. Given 2 3 400 7 tan x y y = + , find dx dy . 7. Use logarithmic differentiation to find the derivative of 5 7 2 4 x e e x y x x + = ....
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