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 ▸Question 3 on the OCR MEI C1 June 2015 paper. Evaluate the following. (i) 200^0 (ii) (9/25)^(-1/2)
Separate (9x^2 + 8x + 10)/(x^2 + 1)(x + 2) into partial fractions.
Why does integration by parts work?
The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).