 # 4 Calculus Problems And Their Solutions

## Transcribed Text

1) For each of the following find y′ y x = − tan ( ) 3 4 4 y x = csc (sin ) 2 3 y e x x = + sin ( ) 2 2 2 3 y x x = − + 2 2 1 1 ( ) y x x = − + 2 2 3 2 1 y xx = (sin )(sin ) 2 2 y x = sin[cos(sin )] 2) Find if f x ′( ) f x x x ( ) ( ) = − − 2 1 2 2 3)Given 2 3 36 1 . Find all points where the tangent is horizontal. 3 2 xx x +−+ 4) Find all points on the graph of fx x ( ) = + that 2 4 have a tangent which passes through the point (0,0)

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