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Popular >

derivative of f(x)=sqrt(x^2-8x^2)

Solution

derivative of

f (x) = x^{2} - 8 x^{2}

Solution

i \frac{7 x ^{2}}{x}

Solution steps

\frac{d}{d x} (x^{2} - 8 x^{2})

Apply the chain rule:

\frac{1}{2 x ^{2} - 8 x ^{2}} \frac{d}{d x} (x^{2} - 8 x^{2})

= \frac{1}{2 x ^{2} - 8 x ^{2}} \frac{d}{d x} (x^{2} - 8 x^{2})

\frac{d}{d x} (x^{2} - 8 x^{2}) = - 14 x

= \frac{1}{2 x ^{2} - 8 x ^{2}} (- 14 x)

Simplify

\frac{1}{2 x ^{2} - 8 x ^{2}} (- 14 x) : i \frac{7 x ^{2}}{x}

= i \frac{7 x ^{2}}{x}

Popular Examples

(\partial)/(\partial x)((w^Te^{-w^Tx})/((1+e^{-w^Tx))^2})

\frac{\partial}{\partial x} (\frac{w ^{T} e ^{- w^{T} x}}{( 1 + e ^{- w^{T} x} ) ^{2}})

inverse oflaplace 1/((b^2*(\frac{1+x){b^2}))}inverse laplace

\frac{1}{( b ^{2} \cdot ( \frac{1 + x}{b ^{2}} ) )}

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x \to 1 - lim (1 - x)

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\int \frac{1}{x ^{3} x ^{2} - 64} d x

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\int 9 x e^{5 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(x^2-8x^2) ?
The derivative of f(x)=sqrt(x^2-8x^2) is i(sqrt(7)sqrt(x^2))/x
What is the first derivative of f(x)=sqrt(x^2-8x^2) ?
The first derivative of f(x)=sqrt(x^2-8x^2) is i(sqrt(7)sqrt(x^2))/x