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Popular >

derivative of sec(x)+sin(x)+x^{-5}

Solution

derivative of

sec (x) + sin (x) + x^{- 5}

Solution

sec (x) tan (x) + cos (x) - \frac{5}{x ^{6}}

Solution steps

\frac{d}{d x} (sec (x) + sin (x) + x^{- 5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sec (x)) + \frac{d}{d x} (sin (x)) + \frac{d}{d x} (x^{- 5})

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

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

\frac{d}{d x} (x^{- 5}) = - \frac{5}{x ^{6}}

= sec (x) tan (x) + cos (x) - \frac{5}{x ^{6}}

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Frequently Asked Questions (FAQ)

What is the derivative of sec(x)+sin(x)+x^{-5} ?
The derivative of sec(x)+sin(x)+x^{-5} is sec(x)tan(x)+cos(x)-5/(x^6)
What is the first derivative of sec(x)+sin(x)+x^{-5} ?
The first derivative of sec(x)+sin(x)+x^{-5} is sec(x)tan(x)+cos(x)-5/(x^6)