What is the derivative of sqrt(9x+x^2) ?

The derivative of sqrt(9x+x^2) is (9+2x)/(2sqrt(9x+x^2))

What is the first derivative of sqrt(9x+x^2) ?

The first derivative of sqrt(9x+x^2) is (9+2x)/(2sqrt(9x+x^2))

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\frac{d}{d x} (9 x + x^{2})

\frac{9 + 2 x}{2 9 x + x ^{2}}

Solution steps

\frac{d}{d x} (9 x + x^{2})

Apply the chain rule:

\frac{1}{2 9 x + x ^{2}} \frac{d}{d x} (9 x + x^{2})

= \frac{1}{2 9 x + x ^{2}} \frac{d}{d x} (9 x + x^{2})

\frac{d}{d x} (9 x + x^{2}) = 9 + 2 x

= \frac{1}{2 9 x + x ^{2}} (9 + 2 x)

Simplify

\frac{1}{2 9 x + x ^{2}} (9 + 2 x) : \frac{9 + 2 x}{2 9 x + x ^{2}}

= \frac{9 + 2 x}{2 9 x + x ^{2}}

\int \frac{sin ( 5 x )}{e ^{c o s (5 x) - 1}} d x

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

x e^{- x + 1} 1

(81) (8 - 7)

y = 12 - 7 x - x^{2}, y = 4

What is the derivative of sqrt(9x+x^2) ?
The derivative of sqrt(9x+x^2) is (9+2x)/(2sqrt(9x+x^2))
What is the first derivative of sqrt(9x+x^2) ?
The first derivative of sqrt(9x+x^2) is (9+2x)/(2sqrt(9x+x^2))