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Popular >

derivative of sqrt(r^2-6x^2)

Solution

derivative of

r^{2} - 6 x^{2}

Solution

- \frac{6 x}{r ^{2} - 6 x ^{2}}

Solution steps

\frac{d}{d x} (r^{2} - 6 x^{2})

Apply the chain rule:

\frac{1}{2 r ^{2} - 6 x ^{2}} \frac{d}{d x} (r^{2} - 6 x^{2})

= \frac{1}{2 r ^{2} - 6 x ^{2}} \frac{d}{d x} (r^{2} - 6 x^{2})

\frac{d}{d x} (r^{2} - 6 x^{2}) = - 12 x

= \frac{1}{2 r ^{2} - 6 x ^{2}} (- 12 x)

Simplify

\frac{1}{2 r ^{2} - 6 x ^{2}} (- 12 x) : - \frac{6 x}{r ^{2} - 6 x ^{2}}

= - \frac{6 x}{r ^{2} - 6 x ^{2}}

Popular Examples

tangent of f(x)=x^4-13x^2+36,\at x=2 tangent of

f (x) = x^{4} - 13 x^{2} + 36, at x = 2

integral of-4x^3e^{4x^2}

\int - 4 x^{3} e^{4 x^{2}} d x

y^{^{'}} + y = y^{- 2}

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\int e^{3 t} (e^{3 t} - 1) d t

inverse oflaplace ((s+1))/((s+1)^2+1)inverse laplace

\frac{( s + 1 )}{( s + 1 ) ^{2} + 1}

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(r^2-6x^2) ?
The derivative of sqrt(r^2-6x^2) is -(6x)/(sqrt(r^2-6x^2))
What is the first derivative of sqrt(r^2-6x^2) ?
The first derivative of sqrt(r^2-6x^2) is -(6x)/(sqrt(r^2-6x^2))