What is the derivative of f(x)=5(7+sqrt(x)) ?

The derivative of f(x)=5(7+sqrt(x)) is 5/(2sqrt(x))

What is the first derivative of f(x)=5(7+sqrt(x)) ?

The first derivative of f(x)=5(7+sqrt(x)) is 5/(2sqrt(x))

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derivative of

f (x) = 5 (7 + x)

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (5 (7 + x))

Take the constant out:

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

= 5 \frac{d}{d x} (7 + x)

Apply the Sum/Difference Rule:

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

= 5 (\frac{d}{d x} (7) + \frac{d}{d x} (x))

\frac{d}{d x} (7) = 0

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

= 5 (0 + \frac{1}{2 x})

Simplify

5 (0 + \frac{1}{2 x}) : \frac{5}{2 x}

= \frac{5}{2 x}

\frac{d}{d x} (\frac{1}{( 1 + x ^{2} )})

x \to 1 - lim (x)

\int 2 x^{9} e^{- x^{5}} d x

\int \frac{9}{x ^{2} x ^{2} + 4} d x

\frac{\partial}{\partial x} (x^{2} + z sin (x yz))

What is the derivative of f(x)=5(7+sqrt(x)) ?
The derivative of f(x)=5(7+sqrt(x)) is 5/(2sqrt(x))
What is the first derivative of f(x)=5(7+sqrt(x)) ?
The first derivative of f(x)=5(7+sqrt(x)) is 5/(2sqrt(x))