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Popular >

derivative of (x+7/(x-7))

Solution

\frac{d}{d x} (\frac{x + 7}{x - 7})

Solution

- \frac{14}{( x - 7 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x + 7}{x - 7})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( x + 7 ) ( x - 7 ) - \frac{d}{d x} ( x - 7 ) ( x + 7 )}{( x - 7 ) ^{2}}

\frac{d}{d x} (x + 7) = 1

\frac{d}{d x} (x - 7) = 1

= \frac{1 \cdot ( x - 7 ) - 1 \cdot ( x + 7 )}{( x - 7 ) ^{2}}

Simplify

\frac{1 \cdot ( x - 7 ) - 1 \cdot ( x + 7 )}{( x - 7 ) ^{2}} : - \frac{14}{( x - 7 ) ^{2}}

= - \frac{14}{( x - 7 ) ^{2}}

Popular Examples

tangent of y=sqrt(3x+72),(3,9)tangent of

y = 3 x + 72, (3, 9)

derivative of y=(7sqrt(x))/8 derivative of

y = \frac{7 x}{8}

limit as x approaches 0 of (x^2)/(e^x-1)

x \to 0 lim (\frac{x ^{2}}{e ^{x} - 1})

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\int 3 sec (x) d x

(\partial)/(\partial x)(a^2)

\frac{\partial}{\partial x} (a^{2})

Frequently Asked Questions (FAQ)

What is the derivative of (x+7/(x-7)) ?
The derivative of (x+7/(x-7)) is -(14)/((x-7)^2)
What is the first derivative of (x+7/(x-7)) ?
The first derivative of (x+7/(x-7)) is -(14)/((x-7)^2)