Question

If y=x cos x, find (dy)/(dx)

Answer 1

Explanation:

y=xcosx

Differentiating w.r.t. x, we get

dx

dy

=

dx

d

(xcosx)

=x

dx

d

(cosx)+cosx

dx

d

(x)

=x(−sinx)+cosx×1

=cosx−xsinx

The derivative of inverse function of y=f(x) is given by

dy

dx

=

(

dx

dy

)

1

=

cosx−xsinx

1

Answer 2

Answer:

cosx-xsinx 1

Explanation:

1here coax -sinx =1