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y = 7x + 2 sin xс.YXx72 sinxcosx +7 x '5in x)2y'= 7 cos x+d.COS X27 sin x+sin xy'e.4Use logarithmic differentiation to find the derivative of2.- (5x +37x90xy' (5x + 1) (x - 1)a.5x + 14х14x60y' = (5x + 1) (- 1)b.5x 14X1428x60y' (5x + 1) (x - 1)'с.415x- 1X(21x304d. y' (5x +45x 1- 1X328x- 1)5x 1304- (5x + 1) (y' =е.4- 1X(1

Question

Use logarithmic differentiation 

y = 7x + 2 sin x
с.
YX
x72 sinxcosx +7 x '5in x)
2
y'= 7 cos x+
d.
COS X
2
7 sin x+
sin x
y'
e.
4
Use logarithmic differentiation to find the derivative of
2.
- (5x +
3
7x
90x
y' (5x + 1) (x - 1)
a.
5x + 1
4
х
14x
60
y' = (5x + 1) (- 1)
b.
5x 1
4
X
1
4
28x
60
y' (5x + 1) (x - 1)'
с.
4
1
5x
- 1
X
(
21x
30
4
d. y' (5x +
4
5x 1
- 1
X
3
28x
- 1)
5x 1
30
4
- (5x + 1) (
y' =
е.
4
- 1
X
(
1
help_outline

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y = 7x + 2 sin x с. YX x72 sinxcosx +7 x '5in x) 2 y'= 7 cos x+ d. COS X 2 7 sin x+ sin x y' e. 4 Use logarithmic differentiation to find the derivative of 2. - (5x + 3 7x 90x y' (5x + 1) (x - 1) a. 5x + 1 4 х 14x 60 y' = (5x + 1) (- 1) b. 5x 1 4 X 1 4 28x 60 y' (5x + 1) (x - 1)' с. 4 1 5x - 1 X ( 21x 30 4 d. y' (5x + 4 5x 1 - 1 X 3 28x - 1) 5x 1 30 4 - (5x + 1) ( y' = е. 4 - 1 X ( 1

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check_circleAnswer
Step 1

To determine the logarithmic derivative of the function.

Step 2

Given:

y (5x +1) (x-1)
6
help_outline

Image Transcriptionclose

y (5x +1) (x-1) 6

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Step 3

Formula used:

...
In(d)=n-In a
n(a-b) In a+In b
(f(x) g(x))=f"(x) 8(x)+f(x).g'(x)
dx
d
(Inx)
dx
1
help_outline

Image Transcriptionclose

In(d)=n-In a n(a-b) In a+In b (f(x) g(x))=f"(x) 8(x)+f(x).g'(x) dx d (Inx) dx 1

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Tagged in

Math

Calculus

Derivative

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