Question

3. sin (ax +b)

Answer 1

The function which is to be differentiated is,

sin( ax+b ).

Differentiate the function with respect to x.

d dx ( sin( ax+b ) )=cos( ax+b ) d dx ( ax+b ) =cos( ax+b )( d dx ( ax )+ d dx ( b ) ) =cos( ax+b )( a+0 ) =acos( ax+b )

Thus, derivative of sin( ax+b )is acos( ax+b ).