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Find an equation of the tangent line to the graph of the function at the given point.

Question

Find an equation of the tangent line to the graph of the function at the given point.

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check_circleAnswer
Step 1

For the given numerical,

(1) We will calculate the slope at the given point

(2) Use the slope point form with the given coordinates

(3) Derive the final answer.

Step 2

To calculate the slope of the given function, differentiate the same with respect to x.

xy-1n2 + y^)
differentiating both sides
d
(In(x2 + y°))
- =
(x+y-1)
dx
dx
1
dy
-0 =
x2y
dx
dy
2х + 2у
dxc
1+
help_outline

Image Transcriptionclose

xy-1n2 + y^) differentiating both sides d (In(x2 + y°)) - = (x+y-1) dx dx 1 dy -0 = x2y dx dy 2х + 2у dxc 1+

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Step 3

Substitute (1,0) to calculate value of...

dy
dy
1+
2
dx
Substituting 0)
dy
1+
dy
2
dx ()(0)
dx
()(0))(0).
dy 2
(1+0)-
dx
1
dy
=1
dx
help_outline

Image Transcriptionclose

dy dy 1+ 2 dx Substituting 0) dy 1+ dy 2 dx ()(0) dx ()(0))(0). dy 2 (1+0)- dx 1 dy =1 dx

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Tagged in

Math

Calculus

Functions

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