Question

y = sin (ax+ b)

विकल्प

• `a cos (ax + b)`

• `cos (ax + b)`

• `cos (ax)`

• `cos b`

Answer 1

`a cos (ax + b)`

Explanation:

Let, `y = sin(ax + b)`

Put `ax + b = t`

∴ `y = sin t, t = ax + b`

∴ `(dy)/(dt) = cos t, (dt)/(dx) = d/(dx) (ax + b) = a`

Now, `(dy)/(dx) = (dy)/(dt) = d/(dx) = (cos t) xx a = a cos (ax + b)`