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

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

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

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

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

tan^{2} (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

= \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

= sec^{2} (x) - 1

Use the Pythagorean identity:

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

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

= tan^{2} (x)

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

\frac{d y}{d t} = t y

6 - 52 x - \frac{1}{2}

\frac{\partial}{\partial x} (5 x^{3} y^{2} - x ln (y))

\int \frac{2}{x 1 - 4 ln ^{2} ( x )} d x

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