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Popular >

derivative of 6sin(x-2/(cos(x)))

Solution

\frac{d}{d x} (6 sin (x) - \frac{2}{cos ( x )})

Solution

6 cos (x) - 2 sec (x) tan (x)

Solution steps

\frac{d}{d x} (6 sin (x) - \frac{2}{cos ( x )})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 sin (x)) - \frac{d}{d x} (\frac{2}{cos ( x )})

\frac{d}{d x} (6 sin (x)) = 6 cos (x)

\frac{d}{d x} (\frac{2}{cos ( x )}) = 2 sec (x) tan (x)

= 6 cos (x) - 2 sec (x) tan (x)

Popular Examples

limit as e^{e^x} approaches 0 of ((e^x)^{-2})/(e^x)

e^{e^{x}} \to 0 lim (\frac{( e ^{x} ) ^{- 2}}{e ^{x}})

integral from 0 to N of e^{-st}e^{4t}

\int_{0}^{N} e^{- s t} e^{4 t} d t

derivative of (-9/(2x^5))

\frac{d}{d x} (\frac{- 9}{2 x ^{5}})

(dy)/(dx)=sqrt(1-y^2)

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

tangent of f(x)=12sqrt(x),\at x=1 tangent of

f (x) = 12 x, at x = 1

Frequently Asked Questions (FAQ)

What is the derivative of 6sin(x-2/(cos(x))) ?
The derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)
What is the first derivative of 6sin(x-2/(cos(x))) ?
The first derivative of 6sin(x-2/(cos(x))) is 6cos(x)-2sec(x)tan(x)