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Differentiate the following equation, y = x^9 + 3x^2 + x^(-1)

dy/dx = 9x 8 + 6x - x -2
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Answered by Emma L. • Maths tutor
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Define x and y if 3x+y=11 and 5x-2y=11

This is a simultaneous equations question. In this situation the equations can be multiplied to create a common coefficient: 3x+y=11 therefore 6x+2y=22You can then add the equations together: 6x+2y=22 plus 5...
JM
Answered by Jonathan M. • Maths tutor
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What is an obtuse and acute angle?

An obtuse angle is an angle which is bigger than a right angle (90 degrees) but less than a straight like (which is 180 degrees). An acute angle is an angle which is bigger than 0 degrees and less than a rig...
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Answered by Sam V. • Maths tutor
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Line segment AB is drawn between point A(-3, 3) and point B(-1, -1). Work out the gradient of the line segment AB, then find the equation of the graph.

The gradient of segment AB is given by the change in x, over the change in y.m = dy/dx = (y2 -y1)/(x2-x1)y2 = 1y1 = 3x2 = -1x1 = -3m = (-1 - 3)/(-1 -(-3)) = -4/2 = -2Gradient is -2.
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Answered by Shahan A. • Maths tutor
7875 Views

How do you find the length of the diagonal of a rectangle of 5cm by 12cm?

Draw the rectangle and put on the measurements Draw on the diagonal Find the right angled triangle Pythagoras tells us a 2 +b 2 =c 2 where c is the longest side which is what we are trying to find So 12 2 +5...
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Answered by Matthew S. • Maths tutor
3588 Views