What is the derivative of sqrt(5)tan(x) ?

The derivative of sqrt(5)tan(x) is sqrt(5)sec^2(x)

What is the first derivative of sqrt(5)tan(x) ?

The first derivative of sqrt(5)tan(x) is sqrt(5)sec^2(x)

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\frac{d}{d x} (5 tan (x))

5 sec^{2} (x)

Solution steps

\frac{d}{d x} (5 tan (x))

Take the constant out:

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

= 5 \frac{d}{d x} (tan (x))

Apply the common derivative:

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

= 5 sec^{2} (x)

What is the derivative of sqrt(5)tan(x) ?
The derivative of sqrt(5)tan(x) is sqrt(5)sec^2(x)
What is the first derivative of sqrt(5)tan(x) ?
The first derivative of sqrt(5)tan(x) is sqrt(5)sec^2(x)