Test: Differentiation - Ambitious

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Question 1:   Find the gradient of a straight line whith the points P( 5,3 ) and Q( 8,12 )
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Question 2:   Find dy dx for y=5 x 3 2 x 2 +7x15
dy dx = x 2 +x1
dy dx =15 x 3 4 x 2 +7x15
dy dx =15 x 2 4x+7
dy dx =125 x 2 4x+49
Question 3:   Find d 2 y d x 2 for y=4 x 4 3 x 3 6 x 2 +x
d 2 y d x 2 =16 x 2 9x12
d 2 y d x 2 =48 x 2 18x12
d 2 y d x 2 =8 x 2 6x8
d 2 y d x 2 =16 x 3 9 x 2 12x+1
Question 4:   Find dy dx at x=3 for y= 1 2 x 4 3 4 x 3 +17
dy dx =33.75
dy dx =23.25
dy dx =18
dy dx =27.125
Question 5:   Find dy dx of y= e x cosx
dy dx = e x ( sinxcosx )
dy dx = e x ( cosxsinx )
dy dx =cosxsinx
dy dx = e x ( cosxsinx )
Question 6:   Find dy dx of y=7 x 4 sinx
dy dx =7 x 4 ( cosx+4sinx )
dy dx = x 3 ( 7xcosx+sinx )
dy dx =21 x 2 ( xcosx4sinx )
dy dx =7 x 3 ( xcosx+4sinx )
Question 7:   Find dy dx of y= sinx x 5
dy dx = xcosx5sinx x 6
dy dx = 5cosxxsinx x 5
dy dx =5 cosx x 4
dy dx =5 cosxsinx x 4
Question 8:   Find dy dx of y= e x tanx
dy dx = e x ( tanx sec 2 x ) tan 2 x
dy dx = e x ( sinxcosx ) tan 2 x
dy dx = e x sec 2 x
dy dx = e x secx
Question 9:   Find dy dx of y= ( 2x+7 ) 5
dy dx =10 ( 2x+7 ) 4
dy dx =15 x 4
dy dx = ( 2x+7 ) 4
dy dx =5 ( 2x+7 ) 4
Question 10:   Find dy dx of y=6 e cosx
dy dx =6sinx e cosx
dy dx =6sin e cosx
dy dx =6cosx e cosx
dy dx =6cos e sinx