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

The derivative of f(x)=5x^5+2/(sqrt(x)) is (-1+25x^{11/2})/(x^{3/2)}

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

The first derivative of f(x)=5x^5+2/(sqrt(x)) is (-1+25x^{11/2})/(x^{3/2)}

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derivative of

f (x) = 5 x^{5} + \frac{2}{x}

\frac{- 1 + 25 x ^{\frac{11}{2}}}{x ^{\frac{3}{2}}}

Solution steps

\frac{d}{d x} (5 x^{5} + \frac{2}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{5}) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (5 x^{5}) = 25 x^{4}

\frac{d}{d x} (\frac{2}{x}) = - \frac{1}{x ^{\frac{3}{2}}}

= 25 x^{4} - \frac{1}{x ^{\frac{3}{2}}}

Simplify

25 x^{4} - \frac{1}{x ^{\frac{3}{2}}} : \frac{- 1 + 25 x ^{\frac{11}{2}}}{x ^{\frac{3}{2}}}

= \frac{- 1 + 25 x ^{\frac{11}{2}}}{x ^{\frac{3}{2}}}

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{5})

y = x^{2} - x + 9

\frac{d y}{( 5 - 3 y ) ^{2}} = \frac{d x}{2 ( 4 - x )}

e^{- 0.75 t} cos (4 t)

f (x) = \frac{1}{2} x^{2}, at x = 2

What is the derivative of f(x)=5x^5+2/(sqrt(x)) ?
The derivative of f(x)=5x^5+2/(sqrt(x)) is (-1+25x^{11/2})/(x^{3/2)}
What is the first derivative of f(x)=5x^5+2/(sqrt(x)) ?
The first derivative of f(x)=5x^5+2/(sqrt(x)) is (-1+25x^{11/2})/(x^{3/2)}