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Question
y = sin (ax+ b)
Options
`a cos (ax + b)`
`cos (ax + b)`
`cos (ax)`
`cos b`
MCQ
Solution
`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)`
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