What is the derivative of (tan(x/2-3)/3) ?

The derivative of (tan(x/2-3)/3) is 1/6 sec^2(x/2)

What is the first derivative of (tan(x/2-3)/3) ?

The first derivative of (tan(x/2-3)/3) is 1/6 sec^2(x/2)

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\frac{d}{d x} (\frac{tan ( \frac{x}{2} ) - 3}{3})

\frac{1}{6} sec^{2} (\frac{x}{2})

Solution steps

\frac{d}{d x} (\frac{tan ( \frac{x}{2} ) - 3}{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{3} \frac{d}{d x} (tan (\frac{x}{2}) - 3)

Apply the Sum/Difference Rule:

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

= \frac{1}{3} (\frac{d}{d x} (tan (\frac{x}{2})) - \frac{d}{d x} (3))

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

\frac{d}{d x} (3) = 0

= \frac{1}{3} (sec^{2} (\frac{x}{2}) \frac{1}{2} - 0)

Simplify

\frac{1}{3} (sec^{2} (\frac{x}{2}) \frac{1}{2} - 0) : \frac{1}{6} sec^{2} (\frac{x}{2})

= \frac{1}{6} sec^{2} (\frac{x}{2})

y = es (s^{3} + 10), (0, 10)

\int \frac{7 ln ( x + 9 )}{x ^{2}} d x

x \to \infty lim (1 + e^{x})

x \to 2 lim (\frac{( x - 2 )}{( x - 1 - 3 - x )})

f (x) = x - x^{3}, at x = 1

What is the derivative of (tan(x/2-3)/3) ?
The derivative of (tan(x/2-3)/3) is 1/6 sec^2(x/2)
What is the first derivative of (tan(x/2-3)/3) ?
The first derivative of (tan(x/2-3)/3) is 1/6 sec^2(x/2)