Find dy/dx of 5x^2 + 2y^3 +8 =17.
As we have to differentiate both x and y, we must use implict differentiation for the y by differentiating it with respect to x (also written as d/dx)
5x2 -> 10x (multiply the power by the number at the start and take away 1 from the power)
2y3 -> 6y2 . dy/dx (the dot means multiply)
8 -> 0 (a sole constant always differnetiates to 0)
17 -> 0
Therefore the equation now looks like this:
10x + 6y2 . dy/dx = 0
so 6y2 .dy/dx = -10x
so dy/dx = -10x / 6y2
AP
Related Maths A Level answers
All answers ▸Differentiation basics: What is it?
How can I find the derivative of y = tan(x)?
The points A and B have coordinates (2,4,1) and (3,2,-1) respectively. The point C is such that OC = 2OB, where O is the origin. Find the distance between A and C.
(Core 2) Show that the region bounded by the curve y = 7x+ 6 - (1/x^2), the x axis and the lines x = 1 and x = 2 equals 16