What is the derivative of arctan(x-pi/4) ?

The derivative of arctan(x-pi/4) is 1/(x^2+1)

What is the first derivative of arctan(x-pi/4) ?

The first derivative of arctan(x-pi/4) is 1/(x^2+1)

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\frac{d}{d x} (arctan (x) - \frac{π}{4})

\frac{1}{x ^{2} + 1}

Solution steps

\frac{d}{d x} (arctan (x) - \frac{π}{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (arctan (x)) - \frac{d}{d x} (\frac{π}{4})

\frac{d}{d x} (arctan (x)) = \frac{1}{x ^{2} + 1}

\frac{d}{d x} (\frac{π}{4}) = 0

= \frac{1}{x ^{2} + 1} - 0

Simplify

= \frac{1}{x ^{2} + 1}

t an g e n t f (x) = 3 sin (x)

in v erse l a pl a ce \frac{10}{2 s + 1}

\int \frac{( x + 5 )}{( x ^{2} + 16 )} d x

\int \frac{1}{x ^{3}} d x

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

What is the derivative of arctan(x-pi/4) ?
The derivative of arctan(x-pi/4) is 1/(x^2+1)
What is the first derivative of arctan(x-pi/4) ?
The first derivative of arctan(x-pi/4) is 1/(x^2+1)