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Differentiate y=x^2cos(x)

This is done using the product rule: dy/dx=udv/dx +vdu/dxset y=uv therefore u=x^2 v=cos(x)differentiate these with respect to x du/dx= 2x as you multiply by the power and then subtract the power by 1dv/dx= -...
KK
Answered by Kavita K. • Maths tutor
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I don't understand how to visualise differentiation, please could you show my an example to allow me to understand what it actually is better?

Well first, we could start with a straight line y = x. You should remember from GCSE that the equation of a straight line is given by y = mx + c, where m here is equal to 1.
DW
Answered by Daniel W. • Maths tutor
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How do I use trigonometric ratios to work out lengths in right-angled triangles?

There are three trigonometric ratios: sine, cosine and tangent, shortened to sin, cos and tan. Firstly, let's draw a triangle and label the sides. In a right-angled triangle, we call the bottom side between ...
JC
Answered by Joseph C. • Maths tutor
3703 Views

Work out the percentage increase from 30 to 420.

First, we need to work out the difference (increase) between our two numbers:420 - 30 = 390 Second, we divide the difference by the original starting number:390 / 30 = 13 Lastly, we multiply this number by 1...
SS
Answered by Sophia S. • Maths tutor
3826 Views

Factorise fully y=x^2+x-12 and hence find the roots of the curve

To factorise a quadratic in the form ax^2+bx+c we need to find 2 numbers which add to get b and multiply to get c. In this case a=1, b=1 and c=-12. Two numbers which add to 1 and multiply to -12 are 4 and -3...
RW
Answered by Rhys W. • Maths tutor
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