What is the derivative of f(x)=2tan(sqrt(x)) ?

The derivative of f(x)=2tan(sqrt(x)) is (sec^2(sqrt(x)))/(sqrt(x))

What is the first derivative of f(x)=2tan(sqrt(x)) ?

The first derivative of f(x)=2tan(sqrt(x)) is (sec^2(sqrt(x)))/(sqrt(x))

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derivative of

f (x) = 2 tan (x)

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int - \frac{3 sin ( - x )}{cos ( - x )} d x

\int_{- 1}^{1} π (8 - 8 x^{2})^{2} d x

f (x) = x - (x + 1)^{4}

y^{^{'}} = x - 7

e^{x} (4 - x)

What is the derivative of f(x)=2tan(sqrt(x)) ?
The derivative of f(x)=2tan(sqrt(x)) is (sec^2(sqrt(x)))/(sqrt(x))
What is the first derivative of f(x)=2tan(sqrt(x)) ?
The first derivative of f(x)=2tan(sqrt(x)) is (sec^2(sqrt(x)))/(sqrt(x))