If y-5x- 1-x 2-3-cos2 2x-1 - find dy-dx-

The correct option is A 5/3 ( 1 x )^5/9 ( 3 x ) 2sin ( 4x+2 ) Given, y=5x ( 1 x )^ 2/3+cos^2 ( 2x+1 ) dy/dx=5.1 ( 1 x )^ 2/3+5x. ( 2/3 ) ...

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Properties of Composite Function

If y=5x/ 1-...

Question

If $y = \frac{5 x}{{(1 - x)}^{2 / 3}} + {cos}^{2} (2 x + 1),$ find $\frac{d y}{d x} .$

\frac{5}{3 {(1 - x)}^{5 / 9}} (3 - x) - 2 sin (4 x + 2)

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\frac{- 5}{3 {(1 - x)}^{5 / 9}} (3 - x) - 2 sin (4 x + 2)

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\frac{4}{3 {(1 - x)}^{5 / 9}} (3 - x) - 2 sin (4 x + 2)

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\frac{5}{3 {(1 - x)}^{5 / 9}} (3 - x) - sin (4 x + 2)

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simplify: (31/16)^3/4 * [(25/9)^3/2 / (5/2)^-3]

\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . .}{1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + . . . . .} = \frac{d x - d y}{d x + d y}

\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . . . .}{1 + \frac{x^{2}}{2} + \frac{x^{4}}{4!} + . . . . . .} = \frac{d x - d y}{d x + d y}

\frac{x + \frac{x^{3}}{3!} + \frac{x^{5}}{5!} + . . . . .}{1 + \frac{x^{2}}{2!} + \frac{x^{4}}{4!} + . . . . .} = \frac{d x - d y}{d x + d y}

y = 1 + x - \frac{x^{2}}{2!} - \frac{x^{3}}{3!} + \frac{x^{4}}{4!} + \frac{x^{5}}{5!} - . . . . . . . .

\frac{d y}{d x} =

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