How do you differentiate X to the power of a?
To differentiate Xa, where a is any real number, you multiply X by a, and subtract 1 from the power.
i.e. d(Xa)/dX=aXa-1
JB
Related Maths A Level answers
All answers ▸Differentiate: y = 3x^2 + 4x + 1 -4x^-1
Integrate 10x(x^1/2 - 2)dx
The height (h) of water flowing out of a tank decreases at a rate proportional to the square root of the height of water still in the tank. If h=9 at t=0 and h=4 at t=5, what is the water’s height at t=15? What is the physical interpretation of this?
Differentiate y=(sin(x))^(2)