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Popular >

derivative of sqrt(x^2+8x)

Solution

\frac{d}{d x} (x^{2} + 8 x)

Solution

\frac{x + 4}{x ^{2} + 8 x}

Solution steps

\frac{d}{d x} (x^{2} + 8 x)

Apply the chain rule:

\frac{1}{2 x ^{2} + 8 x} \frac{d}{d x} (x^{2} + 8 x)

= \frac{1}{2 x ^{2} + 8 x} \frac{d}{d x} (x^{2} + 8 x)

\frac{d}{d x} (x^{2} + 8 x) = 2 x + 8

= \frac{1}{2 x ^{2} + 8 x} (2 x + 8)

Simplify

\frac{1}{2 x ^{2} + 8 x} (2 x + 8) : \frac{x + 4}{x ^{2} + 8 x}

= \frac{x + 4}{x ^{2} + 8 x}

Popular Examples

integral of 2xsec^2(x)

\int 2 x sec^{2} (x) d x

derivative of sqrt(x)ln(10x)

\frac{d}{d x} (x ln (10 x))

integral of ((2x-1)e^{x^2})/(e^x)

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

laplacetransform f(t)=1*t^3 laplace transform

f (t) = 1 \cdot t^{3}

derivative of x+log_{e}(x)

\frac{d}{d x} (x + lo g_{e} (x))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(x^2+8x) ?
The derivative of sqrt(x^2+8x) is (x+4)/(sqrt(x^2+8x))
What is the first derivative of sqrt(x^2+8x) ?
The first derivative of sqrt(x^2+8x) is (x+4)/(sqrt(x^2+8x))