Differentiate with respect to xxx: x2e3x+2x^2e^{3x+2}x2e3x+2.
Differentiate with respect to xxx: cos(2x3)3x\displaystyle \frac{\cos(2x^3)}{3x}3xcos(2x3).
Given that x=4sin(2y+6)x = 4 \sin(2y + 6)x=4sin(2y+6), where −π2<2y+6<π2\displaystyle -\frac{\pi}{2} < 2y + 6 < \frac{\pi}{2}−2π<2y+6<2π, find dydx\displaystyle \frac{dy}{dx}dxdy in terms of xxx.
14 exam-style questions on Edexcel A Level Old Maths Differentiation. Each one has a worked solution and a mark scheme showing where the marks go.