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Popular >

derivative of sqrt(x+1)(sqrt(x+1))

Solution

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

Solution

1

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x + 1, g = x + 1

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

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

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

= \frac{1}{2 x + 1} x + 1 + \frac{1}{2 x + 1} x + 1

Simplify

\frac{1}{2 x + 1} x + 1 + \frac{1}{2 x + 1} x + 1 : 1

= 1

Graph

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y = x^{2} - 21, y = 7 - 3 x

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\frac{10 x}{x ^{2} - 6}

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\frac{d}{d x} (n x)

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\frac{d}{d x} ((x^{2} + 1)^{0.6})

Frequently Asked Questions (FAQ)

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