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Popular >

derivative of sqrt(2x^2+2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

(\partial)/(\partial y)((1+xy)e^{xy})

\frac{\partial}{\partial y} ((1 + x y) e^{x y})

sum from n=1 to infinity of (9^n)/(10^n)

n = 1 \sum \infty \frac{9 ^{n}}{1 0 ^{n}}

integral of sec^3(8x)

\int sec^{3} (8 x) d x

integral of x^2sqrt(2x+5)

\int x^{2} 2 x + 5 d x

tangent of y= 3/(sqrt(x)),(4, 3/2)tangent of

y = \frac{3}{x}, (4, \frac{3}{2})

Frequently Asked Questions (FAQ)

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