How do I use the chain rule for differentiation?
Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) to get 4u^3
However, we need dy/dx , and so we take the fact that dy/dx = (dy/du) x (du/dx)u=2x-6, therefore du/dx = 2And so dy/dx = 2 x 4u^3 = 8u^3
NA
Related Maths A Level answers
All answers ▸Binomially expand the equation (2+kx)^-3
A ball is projected at an angle b from the horizontal. With initial velocity V the ball leaves the ground at point O and hits the ground at point A. If Vcos(b) = 6u and Vsin(b) = 2.5u, how long does the ball take to travel between O and A.
A line L is parallel to y = 4x+5 and passes through the point (-1,6). Find the equation of the line L in the form y = ax+b.
Make x the subject of the equation: 5x+1 = 2-4x