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Popular >

derivative of 4/x+2sec(x)

Solution

\frac{d}{d x} (\frac{4}{x} + 2 sec (x))

Solution

- \frac{4}{x ^{2}} + 2 sec (x) tan (x)

Solution steps

\frac{d}{d x} (\frac{4}{x} + 2 sec (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4}{x}) + \frac{d}{d x} (2 sec (x))

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

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

= - \frac{4}{x ^{2}} + 2 sec (x) tan (x)

Graph

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

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

Frequently Asked Questions (FAQ)

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