What is the derivative of 10sqrt(x+5) ?

The derivative of 10sqrt(x+5) is 5/(sqrt(x+5))

What is the first derivative of 10sqrt(x+5) ?

The first derivative of 10sqrt(x+5) is 5/(sqrt(x+5))

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\frac{d}{d x} (10 x + 5)

\frac{5}{x + 5}

Solution steps

\frac{d}{d x} (10 x + 5)

Take the constant out:

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

= 10 \frac{d}{d x} (x + 5)

Apply the chain rule:

\frac{1}{2 x + 5} \frac{d}{d x} (x + 5)

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

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

= 10 \cdot \frac{1}{2 x + 5} \cdot 1

Simplify

10 \cdot \frac{1}{2 x + 5} \cdot 1 : \frac{5}{x + 5}

= \frac{5}{x + 5}

\int 3 x^{2} e^{- x^{3}} d x

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f (t) = cos^{2} (t)

\frac{d}{d x} (3 x^{2} + 6)

\frac{d}{d x} (2 y sin (x) - x^{3} + ln (y))

What is the derivative of 10sqrt(x+5) ?
The derivative of 10sqrt(x+5) is 5/(sqrt(x+5))
What is the first derivative of 10sqrt(x+5) ?
The first derivative of 10sqrt(x+5) is 5/(sqrt(x+5))