What is the d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) ?

The d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) is -csc^2(a)sec(a)tan(a)+cot(a)(-sec(a)+2sec^3(a))

What is the first d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) ?

The first d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) is -csc^2(a)sec(a)tan(a)+cot(a)(-sec(a)+2sec^3(a))

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\frac{d}{d a} (sec (a) \cdot tan (a) \cdot cos (a) \cdot csc (a))

- csc^{2} (a) sec (a) tan (a) + cot (a) (- sec (a) + 2 sec^{3} (a))

Solution steps

\frac{d}{d a} (sec (a) tan (a) cos (a) csc (a))

Simplify

sec (a) tan (a) cos (a) csc (a) : cot (a) sec (a) tan (a)

= \frac{d}{d a} (cot (a) sec (a) tan (a))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = cot (a), g = sec (a) tan (a)

= \frac{d}{d a} (cot (a)) sec (a) tan (a) + \frac{d}{d a} (sec (a) tan (a)) cot (a)

\frac{d}{d a} (cot (a)) = - csc^{2} (a)

\frac{d}{d a} (sec (a) tan (a)) = - sec (a) + 2 sec^{3} (a)

= (- csc^{2} (a)) sec (a) tan (a) + (- sec (a) + 2 sec^{3} (a)) cot (a)

Simplify

= - csc^{2} (a) sec (a) tan (a) + cot (a) (- sec (a) + 2 sec^{3} (a))

\int \frac{e ^{9 x}}{e ^{9 x} + 1} d x

f (x) = sin (x + 1)

\int 3 y^{2} \frac{1}{2 y} tan (2 y x) d x

\int 6 x^{- 1} d x

\int e^{2 + x} d x

What is the d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) ?
The d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) is -csc^2(a)sec(a)tan(a)+cot(a)(-sec(a)+2sec^3(a))
What is the first d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) ?
The first d/(da)(sec(a)*tan(a)*cos(a)*csc(a)) is -csc^2(a)sec(a)tan(a)+cot(a)(-sec(a)+2sec^3(a))