Let l ( x ) be the linear approximation of f ( x ) = x

studovnaem4z6

studovnaem4z6

Answered question

2022-05-08

Let l ( x ) be the linear approximation of f ( x ) = x 2 / 5 at a = 32. Approximation?

Answer & Explanation

pulpasqsltl

pulpasqsltl

Beginner2022-05-09Added 18 answers

The tangent line will be the linear approximation
ie,
f ( x ) = x 2 5
f ( x ) = 2 5 x 3 5
f ( 32 ) = ( 32 ) 2 / 5 = 4
f ( 32 ) = 1 20
and so the equation of the tangent line L ( x ) at x = 32 is,
L ( x ) = 4 + 1 20 ( x 32 )

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