Differentiate y=sin(x)*x^2.

Using the chain rule, we let u = sin(x) and v = x^2. Then dy/dx = udv/dx + vdu/dx. dv/dx = 2x and du/dx = cos(x). So dy/dx = sin(x)2x + x^2cos(x).

LM

Related Maths A Level answers

All answers ▸

Differentiate f(x)=(x+sin(2x))^4


Three forces (4i + 7j)N, (pi +5j)N and (-8i+qj) N act on a particle of mass 5 kg to produce an acceleration of (2i - j) m s 2 . No other forces act on the particle. Find the resultant force acting on the particle in terms of p and q. THEN find p and Q


How many solutions are there to the equation sin x = a, if 0<a<1 and 0<x<pi


Prove by contradiction that there is an infinite number of prime numbers.