What is the derivative of 2tan(cos(x)) ?

The derivative of 2tan(cos(x)) is -2sec^2(cos(x))sin(x)

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

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

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derivative of

2 tan (cos (x))

- 2 sec^{2} (cos (x)) sin (x)

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

sec^{2} (cos (x)) \frac{d}{d x} (cos (x))

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

\frac{d}{d x} (cos (x)) = - sin (x)

= 2 sec^{2} (cos (x)) (- sin (x))

Simplify

= - 2 sec^{2} (cos (x)) sin (x)

\int \frac{cos ( y )}{sin ( y )} d y

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

\int t^{2} (t - \frac{2}{t}) d t

y^{^{'}} = \frac{( 4 x sec ( \frac{y}{x} ) + y )}{x}

x \to - 6 lim (\frac{6}{x + 6})

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