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Popular >

derivative of sqrt(4x^2+5)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 4 x ^{2} + 5} \frac{d}{d x} (4 x^{2} + 5)

= \frac{1}{2 4 x ^{2} + 5} \frac{d}{d x} (4 x^{2} + 5)

\frac{d}{d x} (4 x^{2} + 5) = 8 x

= \frac{1}{2 4 x ^{2} + 5} \cdot 8 x

Simplify

\frac{1}{2 4 x ^{2} + 5} \cdot 8 x : \frac{4 x}{4 x ^{2} + 5}

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

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\int 2 x^{3} - \frac{2}{3} x^{2} + 7 x d x

sum from n=0 to infinity of 8/(4^n)

n = 0 \sum \infty \frac{8}{4 ^{n}}

(\partial)/(\partial x)(-sin(x^2y)x^2)

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

Frequently Asked Questions (FAQ)

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