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Popular >

derivative of (12/(x+2)-3)

Solution

\frac{d}{d x} (\frac{12}{x + 2} - 3)

Solution

- \frac{12}{( x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{12}{x + 2} - 3)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{12}{x + 2}) - \frac{d}{d x} (3)

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

\frac{d}{d x} (3) = 0

= - \frac{12}{( x + 2 ) ^{2}} - 0

Simplify

= - \frac{12}{( x + 2 ) ^{2}}

Popular Examples

derivative of (x^2-4x/(x+1))

\frac{d}{d x} (\frac{x ^{2} - 4 x}{x + 1})

integral of-(x^2+11x+28)/((x+2)^2)

\int - \frac{x ^{2} + 11 x + 28}{( x + 2 ) ^{2}} d x

derivative of 1/(x^2+5)

\frac{d}{d x} (\frac{1}{x ^{2} + 5})

derivative of f(x)=-16t^2 derivative of

f (x) = - 16 t^{2}

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

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

Frequently Asked Questions (FAQ)

What is the derivative of (12/(x+2)-3) ?
The derivative of (12/(x+2)-3) is -(12)/((x+2)^2)
What is the first derivative of (12/(x+2)-3) ?
The first derivative of (12/(x+2)-3) is -(12)/((x+2)^2)