A curve is defined by the parametric equations
x=5×3−t+2 x = 5 \times 3^{-t} + 2 x=5×3−t+2 y=2×3t−4 y = 2 \times 3^{t} - 4 y=2×3t−4Show that dydx=−25×32t\dfrac{dy}{dx} = -\dfrac{2}{5} \times 3^{2t}dxdy=−52×32t.
Find the Cartesian equation of the curve in the form xy+ax+by=cxy + ax + by = cxy+ax+by=c, where aaa, bbb and ccc are integers.
Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
