What is the derivative of 1/((x-7^2)) ?

The derivative of 1/((x-7^2)) is -2/((x-7)^3)

What is the first derivative of 1/((x-7^2)) ?

The first derivative of 1/((x-7^2)) is -2/((x-7)^3)

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\frac{d}{d x} (\frac{1}{( x - 7 ) ^{2}})

- \frac{2}{( x - 7 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{1}{( x - 7 ) ^{2}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

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

Apply the chain rule:

- \frac{2}{( x - 7 ) ^{3}} \frac{d}{d x} (x - 7)

= - \frac{2}{( x - 7 ) ^{3}} \frac{d}{d x} (x - 7)

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

= - \frac{2}{( x - 7 ) ^{3}} \cdot 1

Simplify

= - \frac{2}{( x - 7 ) ^{3}}

\int \frac{cos ( ln ( x ) )}{3 x} d x

f (x) = tan (4) x^{3}

y = (x)^{5 x}

\int 9 (3 x - 2)^{2} d x

\frac{d ^{3}}{d x ^{3}} (\frac{5}{x ^{2}})

What is the derivative of 1/((x-7^2)) ?
The derivative of 1/((x-7^2)) is -2/((x-7)^3)
What is the first derivative of 1/((x-7^2)) ?
The first derivative of 1/((x-7^2)) is -2/((x-7)^3)