Search over 10,000 free study notes

To find the stationary points of a curve y, you should first find the differential of the curve(dy/dx).Once you have an equation for dy/dx, you should solve it for when dy/dx is equal to zero. This gives ...

>>> 2x+5=3x^2 >>> 3x^2-2x-5=0>>> (3x-5)(x+1)=0>>> x=-1 or x=5/3>>> therefore (-1,3) and (5/3,25/3)

=(x-4)²(x-4)=(x²-8x+16)(x-4)=x³-4x²-8x²+32x+16x-64= x³-12x²+48x-64

First, use the trigonometric identity tan(x) = sin(x) / cos(x) to rewrite the function. It should now be very apparent that f(x) is now actually a ratio of two functions, and therefore the quotient rule w...

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 ...