Find the derivatives of the following \frac{\sin(ax+b)}{\cos(cx+d)}

jernplate8

jernplate8

Answered question

2021-10-11

Find the derivatives of the following
sin(ax+b)cos(cx+d)

Answer & Explanation

Asma Vang

Asma Vang

Skilled2021-10-12Added 93 answers

Step 1
Given
sin(ax+b)cos(cx+d)
Step 2 differentiating wrt x
Let y=sin(ax+b)cos(cx+d)
Differentiating w.r.t x
dydx=cos(cx+d)ddxsin(ax+b)sin(ax+b)ddxcos(cx+d)|cos(cx+d)|2
=cos(cx+d)cos(ax+b)asin(ax+b)(sin(cx+d)c)cos2(cx+d)
=acos(ax+b)cos(cx+d)+csin(ax+b)sin(cx+d)cos2(cx+d)

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