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Question
Differentiate the function with respect to x.
`(sin (ax + b))/cos (cx + d)`
Solution
Let, y = `(sin (ax + b))/(cos (cx + d))`
On differentiating with respect to x,
`dy/dx = d/dx (sin(ax + b)/cos(cx + d))`
= `(cos (cx + d) d/dx sin (ax + b) - sin (ax + b)d/dx cos (cx + d))/cos^2 (cx + d)`
= `(a cos (cx + d)cos (ax + b) + csin (ax + b)sin (cx + d))/cos^2(cx + d)`
= a cos (ax + b) sec (cx + d) + c sin (ax + b) tan (cx + d) sec (cx + d).
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