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Popular >

derivative of 4sqrt(x+1)

Solution

\frac{d}{d x} (4 x + 1)

Solution

\frac{2}{x + 1}

Solution steps

\frac{d}{d x} (4 x + 1)

Take the constant out:

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

= 4 \frac{d}{d x} (x + 1)

Apply the chain rule:

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

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

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

= 4 \cdot \frac{1}{2 x + 1} \cdot 1

Simplify

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

= \frac{2}{x + 1}

Popular Examples

integral of 3x^{sqrt(3)}

\int 3 x^{3} d x

integral from-infinity to infinity of 47cos(pix)

\int_{- \infty}^{\infty} 47 cos (π x) d x

limit as n approaches infinity of (1+sin(1/n))^{sqrt(n)}

n \to \infty lim ((1 + sin (\frac{1}{n}))^{n})

derivative of f(x)=x^2-8x-91 derivative of

f (x) = x^{2} - 8 x - 91

tangent of f(x)= 1/(x+1),\at x=0 tangent of

f (x) = \frac{1}{x + 1}, at x = 0

Frequently Asked Questions (FAQ)

What is the derivative of 4sqrt(x+1) ?
The derivative of 4sqrt(x+1) is 2/(sqrt(x+1))
What is the first derivative of 4sqrt(x+1) ?
The first derivative of 4sqrt(x+1) is 2/(sqrt(x+1))