Search over 10,000 free study notes

For a simple integration like this, begin by expanding the brackets to get 2x³-6x²+4x-12. Next each term should be integrated with respect to x, begin with the first term, each peer ...

First solve to find dy/dx.dy/dx = 4x^3 - 4xThe stationary points occur when dy/dx = 0. Solve the equation to find the values of x for when dy/dx = 0.4x(x^2 - 1) = 0 x = 0, x = 1, x = -1Finally su...

Step 1: Differentiate y with respect to x. dy/dx = 3x^2 - 6x - 9
Step 2: Equate to zero and solve. 3x^2 - 6x - 9 = 0(x - 3)(x+1) = 0x = 3, x = -1
Step 3: Substitute into original equation to fin...

24x^2+8x

dy/dt = 4t dx/dt = 9t^2dy/dx = dy/dt * dt/dx= 4/(9t)