Question

y = x^2 cos x then DX/dx​

Answer 1

Answer:

y = x2(cos(x)) therefore we will need to use the product rule,

dy/dx = u dv/dx + v du/dx

where u = x2 and v = cos(x)

du/dx = 2x and dv/dx = - sin(x), (don't forget the negative symbol when differentiating cosine)

dy/dx = x2(- sin(x)) + cos(x)(2x)

dy/dx = 2x(cos(x)) - x2(sin(x))