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

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

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

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

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derivative of

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

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

Solution steps

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

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

\frac{d}{d x} (\frac{1}{( 2 x + 1 ) ^{3}}) = - \frac{6}{( 2 x + 1 ) ^{4}}

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

n = 0 \sum \infty \frac{5}{e ^{2 n}}

\frac{d}{d x} (e^{x - 1} - 1)

\frac{d y}{d x} = x^{8} y

f (x) = 1 (- 5 x + 3) (- 3 x + 2)

\int \frac{1}{7 + 2 x} d x

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