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

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

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

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

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

\frac{1}{1 - sin ( a )}

Solution steps

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

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

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

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

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

Simplify

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

= \frac{1}{1 - sin ( a )}

y = \frac{1}{( x ^{2} + 4 )}

(1 + 3 x)^{\frac{1}{3}}

\frac{d}{d x} (x^{3} sin (y^{3}))

y = sin (e^{2} x)

x^{x} - 2^{s} in x

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