2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.
This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using algebra to find the solution.
RM
Related Maths A Level answers
All answers ▸A curve has equation y = x^3 - 3x^2 -24x + 5, find the x co-ordinates of the two stationary points of the curve and hence determine whether they are maximum or minimum points.
Find the general solution to the differential equation '' (x^2 + 3x - 1) dy/dx = (2x + 3)y ''
Find the gradient, length and midpoint of the line between (0,0) and (8,8).
Given x=Sqrt(3)sin(2t) and y=4cos^2(t), where 0<t<pi. Show that dy/dx = kSqrt(3)tan(2t).