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Popular >

derivative of f(x)=sqrt(x^2+12)

Solution

derivative of

f (x) = x^{2} + 12

Solution

\frac{x}{x ^{2} + 12}

Solution steps

\frac{d}{d x} (x^{2} + 12)

Apply the chain rule:

\frac{1}{2 x ^{2} + 12} \frac{d}{d x} (x^{2} + 12)

= \frac{1}{2 x ^{2} + 12} \frac{d}{d x} (x^{2} + 12)

\frac{d}{d x} (x^{2} + 12) = 2 x

= \frac{1}{2 x ^{2} + 12} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 12} \cdot 2 x : \frac{x}{x ^{2} + 12}

= \frac{x}{x ^{2} + 12}

Popular Examples

(7x+2y)y^'=-2x-7y

(7 x + 2 y) y^{^{'}} = - 2 x - 7 y

derivative of f(x)= 3/2 x^3-8/5 x^2 derivative of

f (x) = \frac{3}{2} x^{3} - \frac{8}{5} x^{2}

integral from 0 to 50 of 4/5 x

\int_{0}^{50} \frac{4}{5} x d x

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\int_{0}^{1} \frac{9}{1 - x ^{2}} d x

(\partial)/(\partial x)(x^4-5xy+y^4)

\frac{\partial}{\partial x} (x^{4} - 5 x y + y^{4})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(x^2+12) ?
The derivative of f(x)=sqrt(x^2+12) is x/(sqrt(x^2+12))
What is the first derivative of f(x)=sqrt(x^2+12) ?
The first derivative of f(x)=sqrt(x^2+12) is x/(sqrt(x^2+12))