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Popular >

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

Solution

\frac{d}{d x} (\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

(\partial)/(\partial y)(3xsin(xy))

\frac{\partial}{\partial y} (3 x sin (x y))

y^{''}+y=sin(6t)

y^{^{''}} + y = sin (6 t)

tangent of y=x^4+2x^2-x,(1,2)tangent of

y = x^{4} + 2 x^{2} - x, (1, 2)

integral of 16xln(6x)

\int 16 x ln (6 x) d x

x y^{^{'}} + y = 8 x y^{2}

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)