What is the derivative of 4sec(x+tan(x)) ?

The derivative of 4sec(x+tan(x)) is 4sec(x)tan(x)+sec^2(x)

What is the first derivative of 4sec(x+tan(x)) ?

The first derivative of 4sec(x+tan(x)) is 4sec(x)tan(x)+sec^2(x)

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

4 sec (x) tan (x) + sec^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 sec (x)) = 4 sec (x) tan (x)

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

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

x \to 0 lim (\frac{x}{e ^{5 x} - 1})

\frac{d}{d x} (x arctan (x))

\int x^{\frac{7}{3}} d x

\frac{\partial}{\partial z} (x + 2 y + z)

\int_{0}^{4} 1 + e^{- 2 y} d y

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