What is the derivative of cotan(x-tan(x)) ?

The derivative of cotan(x-tan(x)) is cosec^2(x)-sec^2(x)

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

The first derivative of cotan(x-tan(x)) is cosec^2(x)-sec^2(x)

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\frac{d}{d x} (co tan (x) - tan (x))

co sec^{2} (x) - sec^{2} (x)

Solution steps

\frac{d}{d x} (co tan (x) - tan (x))

Treat

c, o

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (co tan (x)) - \frac{d}{d x} (tan (x))

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

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

= co sec^{2} (x) - sec^{2} (x)

\int \frac{x ^{2} - 2 x}{x} d x

\frac{d}{d t} (\frac{2 2}{3} t^{\frac{3}{2}})

x \to 0 + lim (\frac{x}{x})

f (x) = e^{3 x + 2}

\int \frac{1}{x ( ln ( x ) - 1 )} d x

What is the derivative of cotan(x-tan(x)) ?
The derivative of cotan(x-tan(x)) is cosec^2(x)-sec^2(x)
What is the first derivative of cotan(x-tan(x)) ?
The first derivative of cotan(x-tan(x)) is cosec^2(x)-sec^2(x)