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 =15 x 3 4 x 2 +7x15
dy dx =15 x 2 4x+7
dy dx = x 2 +x1
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 =8 x 2 6x8
d 2 y d x 2 =16 x 3 9 x 2 12x+1
d 2 y d x 2 =48 x 2 18x12
d 2 y d x 2 =16 x 2 9x12
Question 4:   Find dy dx at x=3 for y= 1 2 x 4 3 4 x 3 +17
dy dx =23.25
dy dx =18
dy dx =33.75
dy dx =27.125
Question 5:   Find dy dx of y= e x cosx
dy dx =cosxsinx
dy dx = e x ( sinxcosx )
dy dx = e x ( cosxsinx )
dy dx = e x ( cosxsinx )
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