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How do I know which SUVAT equation to use?

SUVAT equations link the variables S (displacement), U (initial speed), V(final speed), A(accelerations), and T (time), for situations where there is constant acceleration. Each of the 5 SUVAT equations ...

Answered by Nikul V. • Maths tutor

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Given that y=(4x-3)^3 x sin2x find dy/dx

To begin with it is important to identify which method of differentiation is required here, since there are two terms multiplied together you would initially choose the product rule, differentiating (4x-3...

Answered by Max O. • Maths tutor

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I know how to integrate, but I still never see any real world example of it, so it is difficult to understand. Why is it useful?

(In tandem with the whiteboard) Integration is a way of working out the total of something. An example of this is if you see a graph of velocity and time, the area under the graph is the total distance tr...

Answered by Cain M. • Maths tutor

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Differentiate y=ln(2x^2) with respect to x

Making a substitution for u = 2x^2 Now y = ln(u) dy/dx = du/dx * dy/du du/dx = 4x dy/du = 1/u dy/dx = 4x/u Then substitute 2x^2 back in as u The final answer is 4x/(2x^2) Which can be simplified by divid...

Answered by Catherine G. • Maths tutor

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