What is the derivative of ((x-5/(2x+1))^3) ?

The derivative of ((x-5/(2x+1))^3) is (33(x-5)^2)/((2x+1)^4)

What is the first derivative of ((x-5/(2x+1))^3) ?

The first derivative of ((x-5/(2x+1))^3) is (33(x-5)^2)/((2x+1)^4)

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\frac{d}{d x} ((\frac{x - 5}{2 x + 1})^{3})

\frac{33 ( x - 5 ) ^{2}}{( 2 x + 1 ) ^{4}}

Solution steps

\frac{d}{d x} ((\frac{x - 5}{2 x + 1})^{3})

Apply the chain rule:

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

= 3 (\frac{x - 5}{2 x + 1})^{2} \frac{d}{d x} (\frac{x - 5}{2 x + 1})

\frac{d}{d x} (\frac{x - 5}{2 x + 1}) = \frac{11}{( 2 x + 1 ) ^{2}}

= 3 (\frac{x - 5}{2 x + 1})^{2} \frac{11}{( 2 x + 1 ) ^{2}}

Simplify

3 (\frac{x - 5}{2 x + 1})^{2} \frac{11}{( 2 x + 1 ) ^{2}} : \frac{33 ( x - 5 ) ^{2}}{( 2 x + 1 ) ^{4}}

= \frac{33 ( x - 5 ) ^{2}}{( 2 x + 1 ) ^{4}}

\frac{2 s}{2 s + 1}

\frac{d}{d x} (\frac{4}{x ^{3}} + 3 x)

6 cos (6 x)

\int_{- 1}^{0} x^{2} e^{x^{3} + 1} d x

y^{5} \cdot (y^{^{'}} - y) = e^{6 x}

What is the derivative of ((x-5/(2x+1))^3) ?
The derivative of ((x-5/(2x+1))^3) is (33(x-5)^2)/((2x+1)^4)
What is the first derivative of ((x-5/(2x+1))^3) ?
The first derivative of ((x-5/(2x+1))^3) is (33(x-5)^2)/((2x+1)^4)