What is the derivative of cos(x-4tan(x)) ?

The derivative of cos(x-4tan(x)) is -sin(x)-4sec^2(x)

What is the first derivative of cos(x-4tan(x)) ?

The first derivative of cos(x-4tan(x)) is -sin(x)-4sec^2(x)

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\frac{d}{d x} (cos (x) - 4 tan (x))

- sin (x) - 4 sec^{2} (x)

Solution steps

\frac{d}{d x} (cos (x) - 4 tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (x)) - \frac{d}{d x} (4 tan (x))

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

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

= - sin (x) - 4 sec^{2} (x)

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

2 y^{^{''}} - y^{^{'}} + 3 y = 0

x^{2} y^{^{''}} - 14 x y^{^{'}} + 56 y = 0

\frac{d y}{d x} = e^{y} (2 x^{3} - 4 x)

\int (\frac{x ^{3} + 2 x ^{2} - 4}{x ^{2}}) d x

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