1
Question
, for some constant a and b .
Open in App
Solution
Let, y = cos ( a cos x + b sin x )
Differentiate both sides with respect to x,
d y d x = d d x { cos ( a cos x + b sin x ) } = − sin ( a cos x + b sin x ) × d d x ( a cos x + b sin x ) = − sin ( a cos x + b sin x ) [ a ( − sin x ) + b cos x ] = ( a sin x − b sin x ) ⋅ sin ( a cos x + b sin x )
Thus, the derivative of the given function is ( a sin x − b sin x ) ⋅ sin ( a cos x + b sin x ) .
Let,
Differentiate both sides with respect to x,
Thus, the derivative of the given function is
Suggest Corrections
0
Similar questions
