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 ▸

How do I integrate and differentiate 1/(x^2)?


FP2 (old specification) - How do you find the derivative of arsinhx?


x = 2t + 5, y = 3 + 4/t. a) Find dy/dx at (9.5) and b) find y in terms of x.


The velocity of a car at time, ts^-1, during the first 20 s of its journey, is given by v = kt + 0.03t^2, where k is a constant. When t = 20 the acceleration of the car is 1.3ms^-2, what is the value of k?