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Popular >

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

Solution

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

Solution

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)

Popular Examples

integral of 10+6x+36x^2

\int 10 + 6 x + 36 x^{2} d x

integral of sqrt(1-(x^2)/(16))

\int 1 - \frac{x ^{2}}{16} d x

ysqrt(x)(dy)/(dx)=(sec(3y))/(1+sqrt(x))

y x \frac{d y}{d x} = \frac{sec ( 3 y )}{1 + x}

integral of (5e^{3x})/(1+e^{2x)}

\int \frac{5 e ^{3 x}}{1 + e ^{2 x}} d x

sum from n=4 to infinity of 1/((n(n+1)))

n = 4 \sum \infty \frac{1}{( n ( n + 1 ) )}

Frequently Asked Questions (FAQ)

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)