What is the derivative of 1/2 (tan(x-x)) ?

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

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

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

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Popular >

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

\frac{1}{2} tan^{2} (x)

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

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

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - 1 = tan^{2} (x)

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

n = 0 \sum \infty n^{3} x^{n}

\frac{d}{d x} (9 x arcsin (x))

\frac{d}{d x} (6 x - 5)

\int \frac{x ^{3} - 2 x + 3}{x - 1} d x

\frac{1}{( s + 4 ) ^{2}}

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