What is the derivative of (2x+1)^3+2/((2x+1)^3) ?

The derivative of (2x+1)^3+2/((2x+1)^3) is 6(2x+1)^2-(12)/((2x+1)^4)

What is the first derivative of (2x+1)^3+2/((2x+1)^3) ?

The first derivative of (2x+1)^3+2/((2x+1)^3) is 6(2x+1)^2-(12)/((2x+1)^4)

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derivative of

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

6 (2 x + 1)^{2} - \frac{12}{( 2 x + 1 ) ^{4}}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} ((2 x + 1)^{3}) = 6 (2 x + 1)^{2}

\frac{d}{d x} (\frac{2}{( 2 x + 1 ) ^{3}}) = - \frac{12}{( 2 x + 1 ) ^{4}}

= 6 (2 x + 1)^{2} - \frac{12}{( 2 x + 1 ) ^{4}}

\frac{\partial}{\partial x} (4 + x + x^{2} Y (x))

\frac{d y}{d x} = x + 2

\int 2 x + 9 x^{- 2} d x

y^{^{'}} - \frac{1}{x} y = x^{2} y^{4}

f (x) = 3 x^{2} - 3 x - 5

What is the derivative of (2x+1)^3+2/((2x+1)^3) ?
The derivative of (2x+1)^3+2/((2x+1)^3) is 6(2x+1)^2-(12)/((2x+1)^4)
What is the first derivative of (2x+1)^3+2/((2x+1)^3) ?
The first derivative of (2x+1)^3+2/((2x+1)^3) is 6(2x+1)^2-(12)/((2x+1)^4)