What is the derivative of (5x^2+25x/(5x)) ?

The derivative of (5x^2+25x/(5x)) is 1

What is the first derivative of (5x^2+25x/(5x)) ?

The first derivative of (5x^2+25x/(5x)) is 1

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\frac{d}{d x} (\frac{5 x ^{2} + 25 x}{5 x})

1

Solution steps

\frac{d}{d x} (\frac{5 x ^{2} + 25 x}{5 x})

Simplify

\frac{5 x ^{2} + 25 x}{5 x} : x + 5

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (5) = 0

= 1 + 0

Simplify

= 1

\int 10 - x^{2} d x

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

y = ln 5 + t - t^{3}

\int (5 cos (x) - 4 sin (x)) d x

\frac{1}{x - 2}

What is the derivative of (5x^2+25x/(5x)) ?
The derivative of (5x^2+25x/(5x)) is 1
What is the first derivative of (5x^2+25x/(5x)) ?
The first derivative of (5x^2+25x/(5x)) is 1