What is the derivative of 1+sqrt(5x) ?

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

What is the first derivative of 1+sqrt(5x) ?

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

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\frac{d}{d x} (1 + 5 x)

\frac{5}{2 x}

Solution steps

\frac{d}{d x} (1 + 5 x)

Simplify

1 + 5 x : 1 + 5 x

= \frac{d}{d x} (1 + 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (5 x)

\frac{d}{d x} (1) = 0

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

= 0 + \frac{5}{2 x}

Simplify

= \frac{5}{2 x}

\frac{\partial}{\partial x} (3 e^{- y} (x^{2} + y^{2}) + 4)

\int \frac{1}{x ( x ^{2} - 16 ) ^{\frac{3}{2}}} d x

f (x) = \frac{cos ( x )}{1 + a sin ( x )}

y = sin (ln (x))

\int_{0}^{1} x^{2} d x

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