If the tangent line of f(x) at (6,3) passes through

dubinskemab

dubinskemab

Answered question

2022-02-16

If the tangent line of f(x) at (6,3) passes through the point (0,2), what is f'(6)?

Answer & Explanation

jexExtiftlot

jexExtiftlot

Beginner2022-02-17Added 5 answers

The gradient of the tangent line at x=6 has the same value of f'(6).
To calculate the gradient of the tangent line, since it is just a straight line passing through 2 points, you should calculate yx.
yx=3260
=16
Therefore, f(6)=16.

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