What is the d/(da)((cos^2(a))/(1-sin(a))) ?

The d/(da)((cos^2(a))/(1-sin(a))) is cos(a)

What is the first d/(da)((cos^2(a))/(1-sin(a))) ?

The first d/(da)((cos^2(a))/(1-sin(a))) is cos(a)

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\frac{d}{d a} (\frac{cos ^{2} ( a )}{1 - sin ( a )})

cos (a)

Solution steps

\frac{d}{d a} (\frac{cos ^{2} ( a )}{1 - sin ( a )})

Simplify

\frac{cos ^{2} ( a )}{1 - sin ( a )} : 1 + sin (a)

= \frac{d}{d a} (1 + sin (a))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d a} (1) + \frac{d}{d a} (sin (a))

\frac{d}{d a} (1) = 0

\frac{d}{d a} (sin (a)) = cos (a)

= 0 + cos (a)

Simplify

= cos (a)

What is the d/(da)((cos^2(a))/(1-sin(a))) ?
The d/(da)((cos^2(a))/(1-sin(a))) is cos(a)
What is the first d/(da)((cos^2(a))/(1-sin(a))) ?
The first d/(da)((cos^2(a))/(1-sin(a))) is cos(a)