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5. Find the derivative of the function.5x- 1у:2x 2xy'

Question

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5. Find the derivative of the function.
5x- 1
у:
2
x 2x
y'
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5. Find the derivative of the function. 5x- 1 у: 2 x 2x y'

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Step 1

To find the first derivative of the function given below.

5х -1
У3.
у
x22x
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5х -1 У3. у x22x

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Step 2

Formula used:

1. Power rule of derivative (x")'=nx"
n-1
f
2. Quotient rule of derivative
g
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1. Power rule of derivative (x")'=nx" n-1 f 2. Quotient rule of derivative g

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Step 3

Differentiating y with res...

d
dy
5х -1
drx 2x
dx
d
d
x22x
dx
(r2x)(5x)-(5x -1)(
(x +2x)
(x +2x) 5-(5x-1) (2x +2)
(x 2x)
5x2 10x-5x-1). (2x+ 2)
(x+2x)
dx
5x210x-10x2 -8x + 2
(x+2x)
-5x22x2
(x+2x)*
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d dy 5х -1 drx 2x dx d d x22x dx (r2x)(5x)-(5x -1)( (x +2x) (x +2x) 5-(5x-1) (2x +2) (x 2x) 5x2 10x-5x-1). (2x+ 2) (x+2x) dx 5x210x-10x2 -8x + 2 (x+2x) -5x22x2 (x+2x)*

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Tagged in

Math

Calculus

Derivative

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