differentiate the following to find the equation for the gradient of the curve in terms of x and y: 3x^3 + 4x^2 + 5xy + 7y = 0
9x^2 + 8x + 5y +5xdy/dx + 7dy/dx = 0
9x^2 + 8x + 5y = dy/dx(-5x - 7)
dy/dx = - (9x^2 + 8x +5y)/(5x + 7)
HP
Related Maths A Level answers
All answers ▸How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)
I don’t think I’m smart enough for this course, should I drop it?
if f(x) = 4x^2 - 16ln(x-1) - 10, find f'(x) and hence solve the equation f'(x)=0.
i) Using implicit differentiation find dy/dx for x^2 + y^2 = 4 ii) At what points is the tangent to the curve parallel to the y axis iii) Given the line y=x+c only intersects the circle once find c given that c is positive.