What is the derivative of sqrt(x^5+2) ?

The derivative of sqrt(x^5+2) is (5x^4)/(2sqrt(x^5+2))

What is the first derivative of sqrt(x^5+2) ?

The first derivative of sqrt(x^5+2) is (5x^4)/(2sqrt(x^5+2))

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\frac{d}{d x} (x^{5} + 2)

\frac{5 x ^{4}}{2 x ^{5} + 2}

Solution steps

\frac{d}{d x} (x^{5} + 2)

Apply the chain rule:

\frac{1}{2 x ^{5} + 2} \frac{d}{d x} (x^{5} + 2)

= \frac{1}{2 x ^{5} + 2} \frac{d}{d x} (x^{5} + 2)

\frac{d}{d x} (x^{5} + 2) = 5 x^{4}

= \frac{1}{2 x ^{5} + 2} \cdot 5 x^{4}

Simplify

\frac{1}{2 x ^{5} + 2} \cdot 5 x^{4} : \frac{5 x ^{4}}{2 x ^{5} + 2}

= \frac{5 x ^{4}}{2 x ^{5} + 2}

\int_{0}^{8} (3 + x) d x

\frac{d y}{d x} - y = 2 x - 3

\int \frac{- 2}{y} d y

\frac{d}{d u} (\frac{u}{v})

f (x) = 1 + sin^{2} (x)

What is the derivative of sqrt(x^5+2) ?
The derivative of sqrt(x^5+2) is (5x^4)/(2sqrt(x^5+2))
What is the first derivative of sqrt(x^5+2) ?
The first derivative of sqrt(x^5+2) is (5x^4)/(2sqrt(x^5+2))