What is the derivative of 4sec(x-5x) ?

The derivative of 4sec(x-5x) is 4sec(x)tan(x)-5

What is the first derivative of 4sec(x-5x) ?

The first derivative of 4sec(x-5x) is 4sec(x)tan(x)-5

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\frac{d}{d x} (4 sec (x) - 5 x)

4 sec (x) tan (x) - 5

Solution steps

\frac{d}{d x} (4 sec (x) - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sec (x)) - \frac{d}{d x} (5 x)

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

\frac{d}{d x} (5 x) = 5

= 4 sec (x) tan (x) - 5

x \to 0 + lim (tan^{x} (7 x))

5 e^{- t} sin (2 t)

\frac{\partial}{\partial x} (sin (π (5 x - 4 y)))

x \to 2 - lim (\frac{x - 5}{x - 2})

(17 y^{2} - x y) d x + x^{2} d y = 0

What is the derivative of 4sec(x-5x) ?
The derivative of 4sec(x-5x) is 4sec(x)tan(x)-5
What is the first derivative of 4sec(x-5x) ?
The first derivative of 4sec(x-5x) is 4sec(x)tan(x)-5