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Given that f(x) = (x^2 + 3)(5 - x), find f'(x).

First we must multiply out the brackets, using FOIL (first, outer, inner, last). This gives f(x) = -x^3 + 5x^2 - 3x + 15. Alternatively you could leave the brackets as they are, and use the product rule to d...
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Answered by Chris D. • Maths tutor
7242 Views

Why do we need to differentiate?

Differentiation is a very important tool for mathematicians. Although finding the gradient of a line can seem to lack a point, it does have some very important applications. For example, in mechanics the vel...
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Answered by Andrew G. • Maths tutor
10224 Views

A curve has parametric equations x = 2 sin θ, y = cos 2θ. Find y in terms of x

y = cos2θ . 2) cos2θ = 1 - 2sin²θ. 3) x = 2sinθ. 4) x² = 4sin²θ. 5) (1/2)x² = 2sin²θ. 6) y = 1 - (1/2)x².
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Answered by Nick B. • Maths tutor
17330 Views

Factorise 2*x^2 - 4*x - 6

The question asks us to factorise the quadratic 2 x^2 - 4 x - 6. All quadratics are of the form a x^2 + b x + c, so we have a = 2, b = -4, c = 6. I would advise approaching it using the product and sum appro...
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Answered by Chris T. • Maths tutor
4833 Views

Have you taught before?

I have experience teaching in my own country about the subject.
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Answered by Rusab A. • Maths tutor
4613 Views