Question

Find the derivative of
x^2cosx with respect to x​

Answer 1

Answer:

Explanation:

u and v are functions of x,

u', v' are the derivatives of those functions

(uv)' is the derivative of the product.

The rule for products is (uv)'= u' v+ v'u

The first derivative of

x

2

is

2

x

The first derivative of

cos

x

is

−

sin

x

So (

x

2

cos

x

)'=

2

x

cos

x

−

sin

x

x

2

Or

2

x

cos

x

−

x

2

sin

x