What is the derivative of x/2-tan(x) ?

The derivative of x/2-tan(x) is 1/2-sec^2(x)

What is the first derivative of x/2-tan(x) ?

The first derivative of x/2-tan(x) is 1/2-sec^2(x)

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\frac{d}{d x} (\frac{x}{2} - tan (x))

\frac{1}{2} - sec^{2} (x)

Solution steps

\frac{d}{d x} (\frac{x}{2} - tan (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{2}) - \frac{d}{d x} (tan (x))

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

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

= \frac{1}{2} - sec^{2} (x)

\int sec (x) tan^{3} (x) d x

x \to 3 lim (- x + 2)

\int_{2}^{5} \frac{1}{x ^{2} - 4} d x

\int \frac{x ^{5}}{( x ^{2} + 4 ) ^{2}} d x

\frac{d}{d x} (6 x^{3} - 4 x^{2} + 5 x)

What is the derivative of x/2-tan(x) ?
The derivative of x/2-tan(x) is 1/2-sec^2(x)
What is the first derivative of x/2-tan(x) ?
The first derivative of x/2-tan(x) is 1/2-sec^2(x)