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Popular >

d/(da)(cos^2(a)+sec^2(a))

Solution

\frac{d}{d a} (cos^{2} (a) + sec^{2} (a))

Solution

- sin (2 a) + 2 sec^{2} (a) tan (a)

Solution steps

\frac{d}{d a} (cos^{2} (a) + sec^{2} (a))

Apply the Sum/Difference Rule:

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

= \frac{d}{d a} (cos^{2} (a)) + \frac{d}{d a} (sec^{2} (a))

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

\frac{d}{d a} (sec^{2} (a)) = 2 sec^{2} (a) tan (a)

= - sin (2 a) + 2 sec^{2} (a) tan (a)

Popular Examples

d/(ds)(((s^2-a^2))/((s^2+s^2)^2))

\frac{d}{d s} (\frac{( s ^{2} - a ^{2} )}{( s ^{2} + s ^{2} ) ^{2}})

\frac{d}{d t} (- 20 + 5 t)

derivative of y=(1+x+x^2)/(1-x^2)derivative of

y = \frac{1 + x + x ^{2}}{1 - x ^{2}}

derivative of ((x^4-5))/((x^2+3))derivative of

\frac{( x ^{4} - 5 )}{( x ^{2} + 3 )}

derivative of sec(x)+sin(x)+x^{-5}derivative of

sec (x) + sin (x) + x^{- 5}

Frequently Asked Questions (FAQ)

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