The curve C is paramterised by the equations: x = 5t + 3 ; y = 2 / t ; t > 0 Find y in terms of x and hence find dy/dx
x = 5t + 3 -> x - 3 = 5t -> (x - 3) / 5 = t
y = 2 / t -> y = 2 / ((x - 3) / 5) -> y = 10 / (x - 3) dy/dx = d/dx (10 / (x - 3)) -> dy/dx= -10 (x - 3)-2
DC
Related Maths A Level answers
All answers ▸The Curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx.
Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.
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