What is the derivative of 8sqrt(8x^2+5) ?

The derivative of 8sqrt(8x^2+5) is (64x)/(sqrt(8x^2+5))

What is the first derivative of 8sqrt(8x^2+5) ?

The first derivative of 8sqrt(8x^2+5) is (64x)/(sqrt(8x^2+5))

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derivative of

8 8 x^{2} + 5

\frac{64 x}{8 x ^{2} + 5}

Solution steps

\frac{d}{d x} (8 8 x^{2} + 5)

Take the constant out:

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

= 8 \frac{d}{d x} (8 x^{2} + 5)

Apply the chain rule:

\frac{1}{2 8 x ^{2} + 5} \frac{d}{d x} (8 x^{2} + 5)

= \frac{1}{2 8 x ^{2} + 5} \frac{d}{d x} (8 x^{2} + 5)

\frac{d}{d x} (8 x^{2} + 5) = 16 x

= 8 \cdot \frac{1}{2 8 x ^{2} + 5} \cdot 16 x

Simplify

8 \cdot \frac{1}{2 8 x ^{2} + 5} \cdot 16 x : \frac{64 x}{8 x ^{2} + 5}

= \frac{64 x}{8 x ^{2} + 5}

x \to 0 - lim (\frac{4}{sin ( x )})

\int x e^{- a x^{2}} d x

y^{^{'}} = 4 e^{x + y}

4 x^{2} - 5 x

\frac{\partial}{\partial x} (sin (x \cdot e^{x^{2} \cdot y}))

What is the derivative of 8sqrt(8x^2+5) ?
The derivative of 8sqrt(8x^2+5) is (64x)/(sqrt(8x^2+5))
What is the first derivative of 8sqrt(8x^2+5) ?
The first derivative of 8sqrt(8x^2+5) is (64x)/(sqrt(8x^2+5))