Use the Fundamental Theorem of Calculus to find the...

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MAT 126: Calculus B — Recitation Exercise Sheet #5, Fall 2009 1. Use the Fundamental Theorem of Calculus to find the derivatives of the following functions. (a) f ( x ) = Z x 1 cos(2 t ) dt (b) f ( x ) = Z x 2 1 sin( 1 2 t ) dt (c) f ( x ) = Z 2 e x ln( t ) dt (d) f ( x ) = Z x π/ 4 tan - 1 ( t ) dt 2. Use the Fundamental Theorem of Calculus to find the derivative d dx .
3. Use the Fundamental Theorem of Calculus to find the derivative d dx .
4. Determine if the given function has any maxima or minima. Classify whether they are local or global. g ( x ) = Z x 0 ( t 4 - t 2

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