What is the derivative of (18)/((x-6)^2) ?

The derivative of (18)/((x-6)^2) is -(36)/((x-6)^3)

What is the first derivative of (18)/((x-6)^2) ?

The first derivative of (18)/((x-6)^2) is -(36)/((x-6)^3)

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derivative of

\frac{18}{( x - 6 ) ^{2}}

- \frac{36}{( x - 6 ) ^{3}}

Solution steps

\frac{d}{d x} (\frac{18}{( x - 6 ) ^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 18 \frac{d}{d x} (\frac{1}{( x - 6 ) ^{2}})

Apply exponent rule:

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

= 18 \frac{d}{d x} ((x - 6)^{- 2})

Apply the chain rule:

- \frac{2}{( x - 6 ) ^{3}} \frac{d}{d x} (x - 6)

= - \frac{2}{( x - 6 ) ^{3}} \frac{d}{d x} (x - 6)

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

= 18 (- \frac{2}{( x - 6 ) ^{3}} \cdot 1)

Simplify

18 (- \frac{2}{( x - 6 ) ^{3}} \cdot 1) : - \frac{36}{( x - 6 ) ^{3}}

= - \frac{36}{( x - 6 ) ^{3}}

y^{^{''}} + 6 y^{^{'}} + 9 y = t + e^{3 t}

\int \frac{x ^{2} + 5 x + 12}{x} d x

x y - 5 y^{2} = 4, (12, 2)

x \to 0 lim (\frac{2 sin ( x )}{x})

\frac{d}{d x} (\frac{x}{( x - 1 ) ^{\frac{2}{3}} ( x + 2 ) ^{\frac{1}{3}}})

What is the derivative of (18)/((x-6)^2) ?
The derivative of (18)/((x-6)^2) is -(36)/((x-6)^3)
What is the first derivative of (18)/((x-6)^2) ?
The first derivative of (18)/((x-6)^2) is -(36)/((x-6)^3)