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Question
Differentiate the function with respect to x.
sin (ax + b)
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Solution
Let, y = sin (ax + b)
Putting ax + b = t,
y = sin t,
`dy/dt` = cos t, `dt/dx = d/dx` (ax + b) = a
`therefore dy/dx = dy/dt xx dt/dx`
= cos t × a
= a cos t
= a cos (ax + b)
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