A curve C is defined by the equation sin3y + 3y*e^(-2x) + 2x^2 = 5, find dy/dx
d(sin3y)/dx= 3cos3y*(dy/dx)d(3ye^(-2x))/dx = -6ye^(-2x) + 3(dy/dx)e^(-2x)d(2x^2)/dx = 4xd(5)/dx = 0so3cos3y(dy/dx) - 6y*e^(-2x) + 3(dy/dx)e^(-2x) + 4x = 0rearrange the equationdy/dx = (6ye^(-2x)-4x)/(3cos3y + 3e^(-2x))
ZZ
Related Maths A Level answers
All answers ▸Differentiate the function f(x) = (x^2 - 1)^3
Given a second order Differential Equation, how does one derive the Characteristic equation where one can evaluate and find the constants
Solve |3x+1| = 1
find the definite integral between limits 1 and 2 of (4x^3+1)/(x^4+x) with respect to x