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Maths
A Level

How can I find the normal to a curve at a given point?

Take the curve y = 2x2 - 4 and point P (2,4). a) First, find the straight line tangent to the curve at point P

Answered by Artyom P. Maths tutor
3430 Views

Sketch y = 9x – 4x^3, showing where the curve crosses the x axis.

First you should look at the equation and try and get a sense of the general shape of the graph. The highest power in here is a 3, so this is a cubic graph. The coefficient (number in front of the x^3) is...

Answered by Anais E. Maths tutor
4419 Views

How do you find the x co-ordinates of the stationary points of a curve with the equation y = 10x - 2x^2 - 2x^3

First to find the stationary points, you have to differentiate the equation of the curve y, to give you (dy/dx) = 10 - 4x - 6x^2After differentiating the equations, the points at which the curve is statio...

Answered by David M. Maths tutor
2831 Views

Integrate 2x^5 + 7x^3 - (3/x^2)

Integrating xn gives you xn+1/(n+1).Integral of 2x5 is 2x6/6 = x6/3. The integral of 7x3 is 7x4/4.-(3/x2) can be rew...

Answered by Alexander P. Maths tutor
3480 Views

Differentiate y = 5x^3 + 7x + 3 with respect to x

When differentiating with respect to x, we multiply the coefficient of the 'x' by the power of the 'x', and subtract one from the power of 'x'. For example:y = 5x^5dy/dx = (55)x^(5-1) = 25x^4If the po...

Answered by Jordan K. Maths tutor
3283 Views

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