Given y = 2x(x^2 – 1)^5, show that dy/dx = g(x)(x^2 – 1)^4 where g(x) is a function to be determined.
y=2x(x2-1)5dy/dx= 2(x2-1)5 + 2x*10x(x2-1)4dy/dx=(x2-1)4(2x2-2+20x2)dy/dx=(x2-1)4(22x2-2)
KS
Related Maths A Level answers
All answers ▸Integrate sin^4(x)
A curve has equation y = 20x - x^2 - 2x^3 . The curve has a stationary point at the point M where x = −2. Find the x- coordinate of the other stationary point of the curve
The function f (x) is defined by f (x) = (1-x)/(1+x), x not equal to -1. Show that f(f (x)) = x. Hence write down f ^-1 (x).
How to integrate lnx by parts?