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Popular >

derivative of sqrt(x^2+c^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

derivative of 2/(2+x)

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

(\partial)/(\partial y)(3x^2-12y)

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

tangent of y=((x+1)/(x-1))^2,(3,4)tangent of

y = (\frac{x + 1}{x - 1})^{2}, (3, 4)

tangent of f(x)=x^9,\at x=-1 tangent of

f (x) = x^{9}, at x = - 1

derivative of e^{2x}n(3x)

\frac{d}{d x} (e^{2 x} n (3 x))

Frequently Asked Questions (FAQ)

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