What is the derivative of 2sqrt({f)(x}) ?

The derivative of 2sqrt({f)(x}) is (derivative of {f}(x))/(sqrt({f)(x))}

What is the first derivative of 2sqrt({f)(x}) ?

The first derivative of 2sqrt({f)(x}) is (derivative of {f}(x))/(sqrt({f)(x))}

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

\frac{\frac{d}{d x} ( f ( x ) )}{f ( x )}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

Simplify

2 \cdot \frac{1}{2 f ( x )} \frac{d}{d x} (f (x)) : \frac{\frac{d}{d x} ( f ( x ) )}{f ( x )}

= \frac{\frac{d}{d x} ( f ( x ) )}{f ( x )}

\int (e^{- x^{2}})^{2} d x

\int \frac{x ^{2}}{3} d x

\int \frac{x}{3 x ^{4} + 1} d x

\int (x ln (2) + \frac{3}{2 x}) d x

f (x) = x - 6

What is the derivative of 2sqrt({f)(x}) ?
The derivative of 2sqrt({f)(x}) is (derivative of {f}(x))/(sqrt({f)(x))}
What is the first derivative of 2sqrt({f)(x}) ?
The first derivative of 2sqrt({f)(x}) is (derivative of {f}(x))/(sqrt({f)(x))}