What is the derivative of f(x)=sqrt(2+\sqrt{5x)} ?

The derivative of f(x)=sqrt(2+\sqrt{5x)} is (sqrt(5))/(4sqrt(x)\sqrt{2+\sqrt{5)sqrt(x)}}

What is the first derivative of f(x)=sqrt(2+\sqrt{5x)} ?

The first derivative of f(x)=sqrt(2+\sqrt{5x)} is (sqrt(5))/(4sqrt(x)\sqrt{2+\sqrt{5)sqrt(x)}}

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derivative of

f (x) = 2 + 5 x

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

(x - 3)^{2} \cdot (\frac{1}{2}) + 1

\frac{\partial}{\partial y} (- \frac{y}{x ^{2} + y ^{2}})

x \to 1 lim (lo g_{10} (x))

\int \frac{1}{u u ^{2} - a ^{2}} d u

ln (25 x)

What is the derivative of f(x)=sqrt(2+\sqrt{5x)} ?
The derivative of f(x)=sqrt(2+\sqrt{5x)} is (sqrt(5))/(4sqrt(x)\sqrt{2+\sqrt{5)sqrt(x)}}
What is the first derivative of f(x)=sqrt(2+\sqrt{5x)} ?
The first derivative of f(x)=sqrt(2+\sqrt{5x)} is (sqrt(5))/(4sqrt(x)\sqrt{2+\sqrt{5)sqrt(x)}}