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Derive 2*x^(3/2)+x+4

Will differentiate to 3*x^(1/2)+1. As you bring down the power and mulitply it my the coefficients, and take one off of the power for terms with x. And any constant differentiates to 0.
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Answered by Finnley W. • Maths tutor
3703 Views

How do i remember the difference between differentiation and integration?

The easiest thing to do is to look at what is in the name. For integration you have `in`, which corresponds to an `increase` in power. Whereas with differenentiation you have `d` for decrease in power. Then ...
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Answered by Taha M. • Maths tutor
4400 Views

The curve C has parametric equations x=2cos(t) and y=3cos(2t). Find and expression for dy/dx in terms of t.

Differentiate both equations given with respect to t. dx/dt = -2sin(t) dy/dt = -6sin(2t) dy/dx = (dy/dt) / (dx/dt) Sub your values in to get dy/dx = (3sin(2t))/sin(t)
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Answered by Sameerah K. • Maths tutor
13346 Views

A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use the ...
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Answered by Sameerah K. • Maths tutor
14338 Views

Which is the difference between "imperfetto" and "passato prossimo" in Italian? When do you use the firts and when do you use the second?

The difference between the Italian imperfetto and passato prossimo can be tricky but it is important to understand it well and to demonstrate its correct use at GCSE level. We use passato prossimo for: -acti...
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Answered by Claudia T. • Italian tutor
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