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 ▸

Differentiate the following with respect to x: e^(10x) + ln(6x+2)


Integrate the function f(x)=3^x+2 with respect to x


A stone, of mass m , falls vertically downwards under gravity through still water. The initial speed of the stone is u . Find an expression for v at time t .


Differentiate the function y=4sqrt(x)