Question

Obtain the derivative of r6sinx​

Answer 1

Answer:

r6cosx

Explanation:

because derivative of sin x is cosx and r6 is constant here

Answer 2

Answer:

2rcosx

Explanation:

y=r6sinx

dy/dx=r d/dx( 6sinx)+6sinx.d/dx(r)

=rcosx+sinx.r

= r(cosx+sinx)

again diff. w.r.t.x, we get

d²y/dx²=r d/dx( cosx+sinx)+(cosx+sinx).d/dx(r)

=r(-sinx+cosx)+cosx+sinx.r

=r(-sinx+cosx+cosx+sinx)

=r(2cosx)

=2rcosx. ans