What is the derivative of 4/(cos(x))+1/(tan(x)) ?

The derivative of 4/(cos(x))+1/(tan(x)) is 4sec(x)tan(x)-csc^2(x)

What is the first derivative of 4/(cos(x))+1/(tan(x)) ?

The first derivative of 4/(cos(x))+1/(tan(x)) is 4sec(x)tan(x)-csc^2(x)

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derivative of

\frac{4}{cos ( x )} + \frac{1}{tan ( x )}

4 sec (x) tan (x) - csc^{2} (x)

Solution steps

\frac{d}{d x} (\frac{4}{cos ( x )} + \frac{1}{tan ( x )})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4}{cos ( x )}) + \frac{d}{d x} (\frac{1}{tan ( x )})

\frac{d}{d x} (\frac{4}{cos ( x )}) = 4 sec (x) tan (x)

\frac{d}{d x} (\frac{1}{tan ( x )}) = - csc^{2} (x)

= 4 sec (x) tan (x) - csc^{2} (x)

What is the derivative of 4/(cos(x))+1/(tan(x)) ?
The derivative of 4/(cos(x))+1/(tan(x)) is 4sec(x)tan(x)-csc^2(x)
What is the first derivative of 4/(cos(x))+1/(tan(x)) ?
The first derivative of 4/(cos(x))+1/(tan(x)) is 4sec(x)tan(x)-csc^2(x)