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A curve C has the equation x^3 + 2xy- x - y^3 -20 = 0. Find dy/dx in terms of x and y.

Every term needs to be differentiated in terms of x: For the x 3 term , differentiated it becomes 3x 2 (multiply the whole term by the initial power, 3, and the reduce the power by 1 and replace it, 3 theref...
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Answered by Seb T. • Maths tutor
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Why is the derivative of a function its gradient?

So, the easiest way to start thinking about this is by looking at straight lines. The gradient of a straight line is just its slope, which is the difference in the y values between any two points, divided by...
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Answered by Connor G. • Maths tutor
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what is the gradient and y intercept of the equation y=7x+7

gradient =7 y intercept = 7
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Answered by Mohammad E. • Maths tutor
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Find the roots of the equation y = 2x^2 + 5x + 2.

The root of an equation is a point where, when the equation is plotted on a graph, it crosses the x axis. The x axis is the line y = 0, so the roots can be found by setting 0 = ax 2 + bx + c where a,b and c ...
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Answered by Will U. • Maths tutor
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integrate x^2 + 3x + 4

For the x 2 term we add one to the power, and then divide by 3 to get x 3 /3 For the next term we add one to the power and divide by the new power to get 3x 2 /2 We do the same for the 4, which just goes to ...
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Answered by Harry B. • Maths tutor
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