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

The derivative of 7/((2x+1)^2) is -(28)/((2x+1)^3)

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

The first derivative of 7/((2x+1)^2) is -(28)/((2x+1)^3)

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derivative of

\frac{7}{( 2 x + 1 ) ^{2}}

- \frac{28}{( 2 x + 1 ) ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

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

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

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

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

Simplify

7 (- \frac{2}{( 2 x + 1 ) ^{3}} \cdot 2) : - \frac{28}{( 2 x + 1 ) ^{3}}

= - \frac{28}{( 2 x + 1 ) ^{3}}

x^{^{''}} = - x + 0.1 x^{^{'}}

\frac{y ^{^{''}} + 10 y ^{^{'}} + 149}{4 y} = 0

x \to 2 lim (+ f (x))

\int \frac{2 x - 3}{x ^{2} + 10 x + 29} d x

\frac{d}{d x} (x + cot (\frac{x}{2}))

What is the derivative of 7/((2x+1)^2) ?
The derivative of 7/((2x+1)^2) is -(28)/((2x+1)^3)
What is the first derivative of 7/((2x+1)^2) ?
The first derivative of 7/((2x+1)^2) is -(28)/((2x+1)^3)