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 )
3
1
−1
2
Question 2:   Find dy dx for y=5 x 3 −2 x 2 +7x−15
dy dx =125 x 2 −4x+49
dy dx =− x 2 +x−1
dy dx =15 x 3 −4 x 2 +7x−15
dy dx =15 x 2 −4x+7
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 −6x−8
d 2 y d x 2 =16 x 2 −9x−12
d 2 y d x 2 =16 x 3 −9 x 2 −12x+1
d 2 y d x 2 =48 x 2 −18x−12
Question 4:   Find dy dx at x=3 for y= 1 2 x 4 − 3 4 x 3 +17
dy dx =27.125
dy dx =23.25
dy dx =33.75
dy dx =18
Question 5:   Find dy dx of y= e x cos⁡x
dy dx = e x ( sin⁡x−cos⁡x )
dy dx =− e x ( cos⁡x−sin⁡x )
dy dx =cos⁡x−sin⁡x
dy dx = e x ( cos⁡x−sin⁡x )
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