What is the derivative of (sqrt(x)+1)^{81} ?

The derivative of (sqrt(x)+1)^{81} is 81(sqrt(x)+1)^{80} 1/(2sqrt(x))

What is the first derivative of (sqrt(x)+1)^{81} ?

The first derivative of (sqrt(x)+1)^{81} is 81(sqrt(x)+1)^{80} 1/(2sqrt(x))

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derivative of

(x + 1)^{81}

81 (x + 1)^{80} \frac{1}{2 x}

Solution steps

\frac{d}{d x} ((x + 1)^{81})

Apply the chain rule:

81 (x + 1)^{80} \frac{d}{d x} (x + 1)

= 81 (x + 1)^{80} \frac{d}{d x} (x + 1)

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

= 81 (x + 1)^{80} \frac{1}{2 x}

\frac{e ^{2 x}}{ln ( 6 x )}

n = 3 \sum \infty \frac{1}{n ( n - 1 )}

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

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

\int \frac{1}{x 1 - x} d x

What is the derivative of (sqrt(x)+1)^{81} ?
The derivative of (sqrt(x)+1)^{81} is 81(sqrt(x)+1)^{80} 1/(2sqrt(x))
What is the first derivative of (sqrt(x)+1)^{81} ?
The first derivative of (sqrt(x)+1)^{81} is 81(sqrt(x)+1)^{80} 1/(2sqrt(x))