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Popular >

derivative of 4/(cos(x))+1/(tan(x))

Solution

derivative of

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

Solution

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)

Popular Examples

derivative of xe^{(-x^2})

\frac{d}{d x} (x e^{(- x^{2})})

derivative of ((4x^2+8x+2))/(sqrt(x))derivative of

\frac{( 4 x ^{2} + 8 x + 2 )}{x}

y^'+175x=0,y(2)=0

y^{^{'}} + 175 x = 0, y (2) = 0

(dy)/(dt)=4y+y^3,y(0)=1

\frac{d y}{d t} = 4 y + y^{3}, y (0) = 1

derivative of ln(\sqrt[8]{(x-3/(x+3)}))

Frequently Asked Questions (FAQ)

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)