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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)
SK
Answered by Sameerah K. • Maths tutor
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What is a derivative?

The derivative of a function f(x) is a measure of how the function f changes as its variable x changes. You have already met an example of derivatives: the gradient, m , measuring the rate of change of f(x) ...
MD
Answered by Marta D. • Maths tutor
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How would I sketch the graph sin(x) + sin(2x - π/2) in my exam?

Sketching trigonometric graphs is all about working from the graphs you already know and seeing how they behave when added/multiplied/substracted from each other to sketch more complicated functions. You wou...
TD
Answered by Tutor73146 D. • Maths tutor
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Find the determinant of a 2*2 matrix.

[1 -2; -5 -4] determinant = {1 * (-4)} - {-5 * (-2)} = -4 - 10 = -14
RA
Answered by Rishabh A. • Maths tutor
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How do I find the roots of a quadratic equation?

A quadratic equation is an equations of the form: ax 2 + bx + c = 0 (1) where a is not 0. The ways of finding the roots are: quadratic formula, factorising, substituting, completing the square. Today, I'll c...
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Answered by Catriona M. • Maths tutor
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