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Question
Differentiate the function with respect to x.
sin (ax + b)
Solution
Let, y = sin (ax + b)
Putting ax + b = 1,
y = sin t, t = ax + b
`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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