Question

. Find dy/dx: 2x+3y= Sin x *

1 point

(Cos x-2)/3

(Cos x+2)/3

(Sin x-2)/3

None of these

​

Answer 1

Differentiation of implicit function :

2x+3y = sinx

differentiating with to x

=2 + 3dy/dx = cosx { dy/dx(cosx) =1

=3dy/dx = cosx-2

=dy/dx = (cosx-2)/3

Therefore 1st option is the right answer...

Answer 2

ANSWER :–

dy/dx = [cos(x) - 2]/3

EXPLANATION :–

GIVEN :–

A function 2x + 3y= sin(x).

TO FIND :–

dy/dx

SOLUTION :–

• According to the question –

=> 2x + 3y= sin(x)

• Differentiate with respect to 'x' –

=> 2 + 3 (dy/dx) = cos(x)

=> 3 (dy/dx) = cos(x) - 2

=> dy/dx = [cos(x) - 2]/3

● Hence , first option is correct.

USED FORMULA :–

(1) d[sin(x)]/dx = cos(x)